In this paper two approaches including the Tanh-expansion method and G/G2-expansion
method are introduced to find a hierarchy of traveling wave solutions to the integrable KdV …

In this paper, a new version of the nonlinear space-time fractional KdV–Burgers–Kuramoto
equation has been generated via the variable-order (VO) fractional derivatives defined in the …

In this article, a nonic B-spline collocation approach is applied to solve the approximate
solution of Kuramoto-Sivashinsky equation (KSE). Here the nonlinear term of KSE is …

This study is made to extract the exact solutions of Korteweg–de Vries–Burgers (KdVB)
equation and Korteweg–de Vries (KdV) equation. The original idea of this work is to …

In this letter, we utilize direct method to obtain the non-auto-Bäcklund transformation for
finding the explicit solutions of variable coefficients Burger equation. The solution procedure …

In this paper, we study an ultra-weak local discontinuous Galerkin (UWLDG) method for the
KdV–Burgers–Kuramoto (KBK) type equation. While the standard UWLDG method is a …

This paper aims to establish the existence of travelling waves for a generalized KdV–
Burgers–Kuramoto equation via utilising geometric singular perturbation theory. Firstly, we …

In this paper, a fully discrete local discontinuous Galerkin finite element method is proposed
to solve the KdV-Burgers-Kuramoto equation with variable-order Riemann-Liouville time …

The focus of this paper is on Kawahara equation (KE) which models diverse variety of waves
enforced in many branches of applied sciences. Symmetries to the considered equation are …