Roman Cherniha: 2 books
Nonlinear Reaction-Diffusion Systems
Conditional Symmetry, Exact Solutions and their Applications in Biology
Language: English
Release Date: September 18, 2017
This book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods. Reaction-diffusion systems are fundamental modeling tools for mathematical biology with applications to ecology, population dynamics, pattern formation, morphogenesis,...
Nonlinear Reaction-Diffusion-Convection Equations
Lie and Conditional Symmetry, Exact Solutions and Their Applications
Language: English
Release Date: November 2, 2017
It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and conditional...