Explicit and Exact Solutions to a Kolmogorov-Petrovskii-Piskunov Equation

Preprint

30 November 1995

preprint
Published by arXiv in arXiv

Abstract

Some explicit traveling wave solutions to a Kolmogorov-Petrovskii-Piskunov equation are presented through two ans\"atze. By a Cole-Hopf transformation, this Kolmogorov-Petrovskii-Piskunov equation is also written as a bilinear equation and further two solutions to describe nonlinear interaction of traveling waves are generated. B\"acklund transformations of the linear form and some special cases are considered.

Keywords

KOLMOGOROV PETROVSKII PISKUNOV
PETROVSKII PISKUNOV EQUATION
PISKUNOV EQUATION
TRAVELING WAVES
KOLMOGOROV

All Related Versions

Version 1, 1995-11-14, ArXiv
Version 2, 1995-11-30, ArXiv
Version 3, 1995-12-01, ArXiv
Published version: International Journal of Non-Linear Mechanics, 31 (3), 329.

This publication has 0 references indexed in Scilit: