Exact solutions of generalized Burgers equation, describing travelling fronts and their interaction

Exact Solution of the Hyperbolic Generalization of Burgers Equation, Describing Travelling Fronts and Their Interaction

We present new analytical solutions to the hyperbolic generalization of Burgers equation, describing interaction of the wave fronts. To obtain them, we employ a modified version of the Hirota method.

Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation

In this paper we obtain  exact solutions of the generalized Kuramoto-Sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems.    The methods used  to determine the exact solutions of the underlying equation are the Lie group analysis  and the simplest equation method. The solutions obtained are  then plotted.

Generalized Solutions Describing Singularity Interaction

Some travelling wave solutions for a Generalized Benjamin-Bona-Mahony-Burgers equation by using MAXIMA program

In this paper we obtain symmetry reductions and exact solutions of a Generalized Benjamin-BonaMahony-Burgers equation using the potential symmetries method. We use the free software MAXIMA program symmgrp2009.max derived by W. Heremann to calculate the determining equations. Key–Words: Potential symmetries, Partial differential equation, Free software

Travelling wave solutions for a generalized Benjamin-Bona-Mahony-Burgers equation

In this paper, we consider a generalized BenjaminBona-Mahony-Burgers equation. Classical symmetries of this equation are considered. The functional forms, for which the BBMB equation can be reduced to ordinary differential equations by classical Lie symmetries, are obtained. A catalogue of symmetry reductions and a catalogue of exact solutions are given. A set of new solitons, kinks, antikinks,...