Exact Travelling Wave Solutions of Some Nonlinear Nonlocal Evolutionary Equations
Mathematical Physics
2009-11-10 v1 Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
Direct algebraic method of obtaining exact solutions to nonlinear PDE's is applied to certain set of nonlinear nonlocal evolutionary equations, including nonlinear telegraph equation, hyperbolic generalization of Burgers equation and some spatially nonlocal hydrodynamic-type model. Special attention is paid to the construction of the kink-like and soliton-like solutions.
Cite
@article{arxiv.math-ph/0407045,
title = {Exact Travelling Wave Solutions of Some Nonlinear Nonlocal Evolutionary Equations},
author = {Vsevolod A. Vladimirov and Ekaterina V. Kutafina},
journal= {arXiv preprint arXiv:math-ph/0407045},
year = {2009}
}
Comments
13 pages, LaTeX2e