In this article, the generalized Kudryashov method which provides exact solutions is examined. It possible to obtain new of nonlinear differential equations with method. By implementing developed two-dimensional KdV-Burger equation, equation are found. This that not in literature. addition, two and three-dimensional graphics these have been drawn their physical behavior has demonstrated.

We investigate generalizations of the Burgers and Burgers-Huxley equations. The investigations we offer focus attention mainly on presenting explict analytical solutions by means of relating these generalized equations to relativistic 1 + 1 dimensional systems of scalar fields where topological solutions are known to play a role. Emphasis is given on chiral solutions, that is, on the possibilit...

In this work we address the analysis of stationary generalized Burgers-Huxley equation (a nonlinear elliptic problem with anomalous advection) and propose conforming, nonconforming discontinuous Galerkin finite element methods for its numerical approximation. The existence, uniqueness regularity weak solutions are discussed in detail using a Faedo-Galerkin approach fixed-point theory, priori er...

The present work deals with the global solvability as well asymptotic analysis of stochastic generalized Burgers–Huxley (SGBH) equation perturbed by a white-in-time and correlated-in-space noise defined in bounded interval $${\mathbb {R}}$$ . We first prove existence unique mild strong solution to SGBH then obtain an invariant measure. Later, we establish two major properties Markovian semigrou...