Andrei Ludu

Daytona College of Arts & Sciences

Mathematical physics

Nonlinear science, nonlinear equations.

Nuclear theory

Solitons

Molecular biophysics

Differential geometry.

Algebraic topology

Fractional calculus

Overview
Teaching
Research

Overview

Ph.D. - Doctor of Philosophy in Physics, Institute of Atomic Physics

Nonlinear science.

Mathematical physics. Differential geometry. Algebraic topology. Nonlinear differential equations.

Fluid dynamics, solitons

Nuclear theory, exotic radioactivity, super-heavy nuclei.

Thermonuclear fusion. Hot and dense thermonuclear plasma.

Ultrahigh magnetic fields

Biophysics, theoretical molecular biology.

Wavelets, patterns.

Fractional calculus.

Quantum groups, Hopf algebras.

Director Wave Lab, COAS, ERAU.

Director IDEAS Program of Interdisciplinary Science at Northwestern State University, Natchitoches, Louisiana;
American Physical Society
Member: Editorial Board of Romanian Journal of Physics
Member: International. Association of Mathematical Physics
Member: SIAM Activity Group (SIAG) on Nonlinear Waves
International Who's Who of Professionals, Who's Who Historical Society
Recipient of the Exceptional National Grant of Merit, Bucharest University
International Association of Mathematical Physics
Affiliate: Institute of Physics, London, UK
E. P. Wigner International Committee for Mathematical Physics
New York Academy of Sciences, New York, NY
American Association for the Advancement of Science, New York, NY
American Physical Society, New York, NY

Bailey Award for Research, Northwestern University, 2005.

Teaching

MATH 441: Math Methods Engr & Physics I
MATH 442: Math Methods Engr & Physics II

MA-669, MA-599, MA-543, MA-490, MA-443, MA-399, MA-348, MA-345, MA-242 and MA-241.

MTWThF: 10:00-17:00

Research

Fuel Mixing Diffusers

Perturbation of traveling Boussinesq solitons by periodic bathymetry (Andrei Ludu) Pure Portfolio (2025)
Hydrodynamics (Andrei Ludu) Publications (2022)
Kinematics of Fluids (Andrei Ludu) Publications (2022)
The Replacement Rule for Nonlinear Shallow Water Waves (A. Ludu, Andrei Ludu, Z. Zong) Publications (2022)
A Numerical Solution of Water Flow in Unsaturated Soil with Evapotraspiration (Andrei Ludu, Harihar Khanal, Ramesh Chandra Timsina, Kedar Nath Uprety) Publications (2021)
A Mathematical Model for Transport and Growth of Microbes in Unsaturated Porous Soil (Harihar Khanal, Andrei Ludu, Ramesh Chandra Timsina, Kedar Nath Uprety) Publications (2021)
Nonlinear Schrödinger equation solitons on quantum droplets (Andrei Ludu) Pure Portfolio (2021)
Nonlinear Schrödinger equation solitons on quantum droplets (A. Ludu, Andrei Ludu, A.S. Carstea) Publications (2021)
Some theory and applications of 2N-dimensional canonical systems (Andrei Ludu) Pure Portfolio (2021)
A Mathematical Model for Transport and Growth of Microbes in Unsaturated Porous Soil (Andrei Ludu) Pure Portfolio (2021)
Experimental study of breathers and rogue waves generated by random waves over non-uniform bathymetry (A. Ludu, Andrei Ludu, A. Wang, Z. Zong, L. Zou, Y. Pei) Publications (2020)
Experimental study of breathers and rogue waves generated by random waves over non-uniform bathymetry (Andrei Ludu) Pure Portfolio (2020)
2N-Dimensional Canonical Systems and Applications (Andrei Ludu, Keshav Baj Acharya, Keshav R. Acharya) Publications (2020)
Non-compact manifolds with Killing spinors (Andrei Ludu) Pure Portfolio (2020)
Reinforcement learning rewards effect on autonomous aerial vehicles' target identification task (Dahai Liu, Christina Frederick, Andrei Ludu) Pure Portfolio (2020)
Ice Spiral Patterns on the Ocean Surface (Andrei Ludu, Zhi Zong) Publications (2019)
Rotating hollow patterns in fluids (Andrei Ludu) Pure Portfolio (2019)
Nonlocal Symmetries for Time-Dependent Order Differential Equations (Andrei Ludu) Publications (2018)
Nonlocal symmetries for time-dependent order differential equations (Andrei Ludu) Pure Portfolio (2018)
Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole (A. Ludu, Andrei Ludu) Publications (2018)
Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole (Andrei Ludu) Pure Portfolio (2018)
Differential Equations of Dynamical Order (Andrei Ludu, Harihar Khanal) Publications (2017)
Almost-BPS Solutions in Multi-Center Taub-NUT (C. Rugina, A. Ludu, Andrei Ludu) Publications (2017)
Almost-BPS solutions in multi-center Taub-NUT (Andrei Ludu) Pure Portfolio (2017)
Energy Transfer From Wind to Wave Groups: Theory and Experiment (Andrei Ludu) Pure Portfolio (2017)
Differential Equations of Time Dependent Order (Andrei Ludu) Pure Portfolio (2016)
Presentation CCS2016.3.pdf (Andrei Ludu) Pure Portfolio (2016)
Energy Transfer from Wind to Wave Groups: Theory and Experiment (Andrei Ludu, Shahrdad G. Sajjadi) Publications (2016)
Boundaries of a Complex World (Andrei Ludu) Pure Portfolio (2016)
Sensor Sensitivity and Reinforcement Learning Models on Target Acquisition for Autonomous Vehicle (Dahai Liu, Andrei Ludu) Pure Portfolio (2015)
Sensor sensitivity and reinforcement learning models on target acquisition task for autonomous vehicle (Dahai Liu, Andrei Ludu) Pure Portfolio (2015)
Nonlinear Decelerator for Payloads in Aerial Delivery Systems. I: Design and Testing (Andrei Ludu, Hong Paul Liu) Pure Portfolio (2014)
Experimental and theoretical studies on visible light attenuation in water (Andrei Ludu, Hong Paul Liu) Pure Portfolio (2014)
Experiments drop container and payload (Andrei Ludu) Pure Portfolio (2014)
Experiments drop container and payload (Andrei Ludu) Pure Portfolio (2014)
Experiment container and payload drop on water. (Andrei Ludu) Pure Portfolio (2014)
Experiment drop container and payload on different types of ground (Andrei Ludu) Pure Portfolio (2014)
Water Wave Height Measurements Using Laser Beam Reflections (Andrei Ludu) Pure Portfolio (2014)
A Novel Approach for Reconstructing Water Surface Using Shape from Shading Techniques (Andrei Ludu) Pure Portfolio (2014)
Modeling Autonomous Aerial Vehicle Target Identification Tasks Using Reinforcement Learning (Dahai Liu, Andrei Ludu) Pure Portfolio (2014)
Boundaries of a Complex World, ISBN 978-3-662-49078-5 (2016) (Andrei Ludu) Pure Portfolio (2014)
Modeling autonomous aerial vehicle target identification tasks using reinforcement learning (Dahai Liu, Andrei Ludu) Pure Portfolio (2014)
Modeling Autonomous Aerial Vehicle Target Identification Tasks Using Reinforcement Learning (Dahai Liu, Andrei Ludu) Pure Portfolio (2014)
Scaling Analyses Based on Wavelet Transforms for the Talbot Effect (Andrei Ludu) Pure Portfolio (2013)
Burglary Crime Analysis Using Logistic Regression (Dahai Liu, Andrei Ludu) Pure Portfolio (2013)
XV International Conference on Geometry, Integrability and Quantization, Varna (Andrei Ludu) Pure Portfolio (2013)
The 8th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia (Andrei Ludu) Pure Portfolio (2013)
Burglary crime analysis using logistic regression (Dahai Liu, Andrei Ludu) Pure Portfolio (2013)
XIV International Conference on Geometry Integrability and Quantization, Varna, Bulgaria. (Andrei Ludu) Pure Portfolio (2012)
Topology and Geometry of Mixing of Fluids (Andrei Ludu, S.C. Mancas, Ionutz Ionescu, Audrey Gbagaudi, Matthew Schumacher) Publications (2012)
Vortex patterns beyond hypergeometric (Andrei Ludu) Pure Portfolio (2012)
ACE - A Model Centered REU Program Standing on the Three Legs of CSE: Analysis, Computation and Experiment (Hong P. Liu, Hong Paul Liu, Andrei Ludu) Publications (2012)
Vortex Patterns Beyond Hypergeometric (Andrei Ludu) Publications (2012)
Dipole Vortex Patterns. Beyond Hypergeometric (Andrei Ludu) Pure Portfolio (2012)
Vortex States in Axially Symmetric Superconductors in Applied Magnetic Field (Andrei Ludu) Pure Portfolio (2012)
ACE - A Model Centered REU Program Standing on the Three Legs of CSE: Analysis, Computation and Experiment (Hong Paul Liu, Andrei Ludu) Pure Portfolio (2012)
Nonlinear Waves and Solitons on Contours and Closed Surfaces (Andrei Ludu) Pure Portfolio (2012)
XIII International Conference on Geometry Integrability and Quantization, Varna, Bulgaria (Andrei Ludu) Pure Portfolio (2011)
The 7th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia (Andrei Ludu) Pure Portfolio (2011)
Differential Geometry of Moving Surfaces and Its Relation to Solitons (Andrei Ludu) Publications (2011)
Differential Geometry of Moving Surfaces and Its Relation to Solitons (Andrei Ludu) Publications (2011)
Periodic solutions and refractory periods in the soliton theory for nerves and the locust femoral nerve (Andrei Ludu) Pure Portfolio (2011)
Differential Geometry of Moving Surfaces and its Relations to Solitons (Andrei Ludu) Pure Portfolio (2011)
Integrated Lab Textbook (Andrei Ludu) Pure Portfolio (2011)
Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field (Andrei Ludu, J. Van Deun, M. V, Milosevic, A. Cuyt, F. M. Peeters) Publications (2010)
Analytic Treatment of Vortex States in Cylindrical Superconductors in Applied Axial Magnetic Field (Andrei Ludu) Pure Portfolio (2010)
Is the Curvature of the Flagellum Involved in the Apparent Cooperativity of the Dynein Arms along the "9+2" Axoneme? (Andrei Ludu) Pure Portfolio (2010)
Book Review: Visual Motion of Curves and Surfaces (Andrei Ludu) Publications (2010)
Book Review: Visual Motion of Curves and Surfaces (Andrei Ludu) Pure Portfolio (2010)
Elastic Axonemal Models: Solitary Wave Shapes (Andrei Ludu) Pure Portfolio (2009)
The 6th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia (Andrei Ludu) Pure Portfolio (2009)
Integrated Elements of Science (Andrei Ludu) Pure Portfolio (2009)
Solitons in nerves (Andrei Ludu) Pure Portfolio (2008)
Models of swimming in motile cells (Andrei Ludu) Pure Portfolio (2008)
Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles (Andrei Ludu) Publications (2008)
What is behind hypergeometric? Coalescence of singularities. (Andrei Ludu) Pure Portfolio (2008)
Fiber bundle structure of Cartan frames in kinematics of fluid dynamics (Andrei Ludu) Pure Portfolio (2008)
Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles (Andrei Ludu) Pure Portfolio (2008)
Vortex structures in mesoscopic spheres (1, 2 , and 3) (Andrei Ludu) Pure Portfolio (2008)
Internally Generated Nonlinear Waves in Filament Bundles (Andrei Ludu) Pure Portfolio (2007)
The 5th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia (Andrei Ludu) Pure Portfolio (2007)
Nonlinear Dispersion Relations (Andrei Ludu) Pure Portfolio (2007)
Solitons and antisolitons on bounded surfaces (Andrei Ludu) Pure Portfolio (2005)
The 4th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia (Andrei Ludu) Pure Portfolio (2005)
Flagellar bend dynamics in African trypanosomes (Andrei Ludu) Pure Portfolio (2005)
Nonlinear modeling of 3-d flagellar dynamics (Andrei Ludu) Pure Portfolio (2005)
AIP Conference Proceedings (Andrei Ludu) Pure Portfolio (2005)
Solitons and Antisolitons on Bounded Surfaces}, {\it Mathematics and Computer in Simulation (Andrei Ludu) Pure Portfolio (2005)
ISIS: International Symposium on Interdisciplinary Science (Andrei Ludu) Pure Portfolio (2005)
(Murray Gell Mann opening address) ISIS International Symposium on Interdisciplinary Science (Andrei Ludu) Pure Portfolio (2004)
Plectics as a scientific theory through critical rationalism. Evaluation with examples from cell dynamics and Bose-Einstein condensates (Andrei Ludu) Pure Portfolio (2004)
Nonlinear Resonant States and Scattering in One-dimensional BEC Model (Andrei Ludu) Pure Portfolio (2004)
Scattering of NLS Solitons With Bound Quantum States (Andrei Ludu) Pure Portfolio (2004)
The 3rd IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia (Andrei Ludu) Pure Portfolio (2003)
Nonlinear equations and wavelets (Andrei Ludu) Pure Portfolio (2003)
Analysis and classification of nonlinear dispersive evolution equations in the potential representation (Andrei Ludu) Pure Portfolio (2002)
Analysis and Classification of Nonlinear Dispersive Evolution Equations in The Potential Representation (Andrei Ludu) Pure Portfolio (2002)
Laplace Transform of Spherical Bessel Functions (Andrei Ludu) Pure Portfolio (2002)
The 2nd IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, University of Georgia (Andrei Ludu) Pure Portfolio (2001)
Special Session 'Integral Transforms,' Joint AMS Conference, New Orleans (Andrei Ludu) Pure Portfolio (2001)
Antisoliton model for fission modes (Andrei Ludu) Pure Portfolio (2001)
Soliton Excitations as Emitted Clusters on Nuclear Surfaces (Andrei Ludu) Pure Portfolio (2001)
Non-linearity and self-similarity: patterns and clusters (Andrei Ludu) Pure Portfolio (2001)
Soliton excitations as emitted clusters on nuclear surfaces (Andrei Ludu) Pure Portfolio (2001)
The 7th International Wigner Symposium, University of Maryland. (Andrei Ludu) Pure Portfolio (2000)
Similarity Analysis of Nonlinear Equations and Bases of Finite Wavelength Solitons (Andrei Ludu) Pure Portfolio (2000)
Non-linear phenomena in nuclei (Andrei Ludu) Pure Portfolio (1999)
6th International Wigner Symposium, Istanbul. (Andrei Ludu) Pure Portfolio (1999)
3rd IMACS/IEEE International Multi-Conference CSSC'99, Athens, Greece (Andrei Ludu) Pure Portfolio (1999)
The First IMACS International Conference on "NONLINEAR EVOLUTION EQUATIONS AND WAVE PHENOMENA: COMPUTATION AND THEORY" (Andrei Ludu) Pure Portfolio (1999)
Nonlinear Phenomena in Nuclei: The Antisoliton Model for Fission (Andrei Ludu) Pure Portfolio (1999)
Nonlinearity and Self-similarity: Wavelets and Compactons on a Physical Background (Andrei Ludu) Pure Portfolio (1999)
Nonlinear Phenomena in Nuclei: The Antisoliton Model for Fission (Andrei Ludu) Pure Portfolio (1999)
Nonlinear Modes of Liquid Drops as Solitary Waves (Andrei Ludu, J. P. Draayer) Publications (1998)
Nonlinear Modes of Liquid Drops as Solitary Waves (Andrei Ludu) Pure Portfolio (1998)
Wavelets and Quantum Algebras (Andrei Ludu) Pure Portfolio (1998)
Solitons and Wavelets: Self-similar Patterns and Nonlinear Dynamics (Andrei Ludu) Pure Portfolio (1998)
Patterns on liquid surfaces: cnoidal waves, compactons and scaling (Andrei Ludu) Pure Portfolio (1998)
Hamiltonian System and Symmetries for Scale Invariant wavefunctions (Andrei Ludu) Pure Portfolio (1998)
Continuous Mapping Between the Discrete Symmetries as q-Deformations (Andrei Ludu) Pure Portfolio (1997)
Understanding Wavelets and Possible Applications in Nuclear Physics (Andrei Ludu) Pure Portfolio (1997)
Patterns on Liquid Surfaces: Cnoidal Waves, Compactons and Scaling (Andrei Ludu) Pure Portfolio (1997)
Nonlinear liquid drop model. Cnoidal waves (Andrei Ludu) Pure Portfolio (1997)
Quasi-continuous Symmetries of Non-Lie Type (Andrei Ludu) Pure Portfolio (1997)
Nonlinear Liquid Drop Model. Cnoidal Waves (Andrei Ludu) Pure Portfolio (1997)
A Nonlinear Deformed su(2) Algebra with a Two-color Quasitriangular Hopf Structure (Andrei Ludu) Pure Portfolio (1997)
Nonlinear deformed su(2) algebras involving two deforming functions (Andrei Ludu) Pure Portfolio (1996)
Continuous Structures for Discrete Symmetries (Andrei Ludu) Pure Portfolio (1996)
Generalized KdV Equation for Fluid Dynamics and Quantum Algebras (Andrei Ludu) Pure Portfolio (1996)
Full Unified Hamiltonian Picture of the Traditional Nonlinear Models in The Context of The Rotator-Vibrator-Soliton-Model (Andrei Ludu) Pure Portfolio (1996)
SU(1,1) Algebraic Description of One-dimensional Potentials within The R-matrix Theory (Andrei Ludu) Pure Portfolio (1996)
Nonlinear Approach of Alpha and Cluster Decays in The Reaction Channel (Andrei Ludu) Pure Portfolio (1996)
Nonlinear deformed su(2) algebras involving two deforming function (Andrei Ludu) Pure Portfolio (1996)
Generalization KdV Equation for Fluid Dynamics and Quantum Algebras (Andrei Ludu) Pure Portfolio (1996)
su(1, 1) algebraic description of one-dimensional potentials within the R-matrix theory (Andrei Ludu) Pure Portfolio (1996)
Quasimolecular Resonances in alpha+20Ne Systems (Andrei Ludu) Pure Portfolio (1995)
Quasimolecular resonances in the alpha +20Ne system (Andrei Ludu) Pure Portfolio (1995)
Alpha+28Si Cluster Structure as Solitons on The Nuclear Surface (Andrei Ludu) Pure Portfolio (1995)
Alpha+28Si cluster structure as solitons on the nuclear surface (Andrei Ludu) Pure Portfolio (1995)
Quantum Deformation Algebra Studied as an Analytical Equivalent of s, d Interacting Boson Model: Energy Spectra (Andrei Ludu) Pure Portfolio (1993)
A q-Tensorial Approach to q-Oscillators in U_q SU(2) (Andrei Ludu) Pure Portfolio (1993)
A Generalization of The Deformed Algebra of Quantum Group SU_q (2) for Hopf Algebra (Andrei Ludu) Pure Portfolio (1993)
A Unified Approach to The Electromagnetic Field Invariants (Andrei Ludu) Pure Portfolio (1993)
On the Preformation Factors in Alpha Decay. Alpha Particles as Solitons (Andrei Ludu) Pure Portfolio (1993)
A generalization of the deformed algebra of quantum group SU(2)q for Hopf algebra (Andrei Ludu) Pure Portfolio (1993)
A q-tensorial approach to q-oscillators in Uq(su(2)) (Andrei Ludu) Pure Portfolio (1993)
A New Large Amplitude Collective Motion in Nuclei (Andrei Ludu) Pure Portfolio (1992)
Dynamical Symmetry Breaking of SU(2) Model and The Quantum Group SU_q (2) (Andrei Ludu) Pure Portfolio (1992)
Dynamical symmetry breaking in SU(2) model and the quantum group SU(2) q (Andrei Ludu) Pure Portfolio (1992)
Cluster as Solitons on the Nuclear Surface (Andrei Ludu) Pure Portfolio (1991)
A Group Theoretic Approach to the Magnetohydrodynamic Equations and Group Invariant Solutions (Andrei Ludu) Pure Portfolio (1990)
A Group Theoretical Approach to The Magneto Hydrodynamic Equations and Group Invariant Solutions (Andrei Ludu) Pure Portfolio (1988)
Group Analysis of Euler Equations in The Rotationally Symmetric Case (Andrei Ludu) Pure Portfolio (1988)
Shock Wave Explozive Energy Generator of PZT Ferroelectric (Andrei Ludu) Pure Portfolio (1986)
On the Quadratic Form n12 +n22 +n32 - n42 in Z4 (Andrei Ludu) Pure Portfolio (1986)
Special Einstein-Lorentz Transformations. A Projective Approach (Andrei Ludu) Pure Portfolio (1985)
The Effect of The Ambient on The Electrical Properties of BaTiO3 (Andrei Ludu) Pure Portfolio (1983)

View my research at:
http://works.bepress.com/andrei_ludu/