New periodic solitary wave solutions for the new (2+1)-dimensional Korteweg–de Vries equation

Abstract

Many important physical situations such as fluid flows, plasma physics, and solid-state physics have been described by the Korteweg–de Vries (KdV)-type models. In this article, the new (2+1)-dimensional KdV equation is discussed by using the Hirota’s bilinear form and a direct test function to construct new periodic solitary wave solutions. The new periodic solitary wave solutions obtained in this work enrich the solution structure of higher-dimensional nonlinear wave equations. In addition, with the aid of symbolic computation, the properties for these periodic solitary wave solutions are illustrated with some figures.