Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients

TL;DR

This paper introduces a symbolic computation method for deriving multiple rogue wave solutions in nonlinear systems with variable coefficients, demonstrated on a (2+1)-dimensional Kadomtsev-Petviashvili equation, revealing their dynamic features.

Contribution

A novel variable-coefficient symbolic computation approach for finding multiple rogue wave solutions in nonlinear equations with variable coefficients.

Findings

Multiple rogue wave solutions obtained for the (2+1)-D Kadomtsev-Petviashvili equation.

Dynamic features of rogue waves visualized in 3D and contour plots.

Method applicable to other nonlinear systems with variable coefficients.

Abstract

In this paper, a variable-coefficient symbolic computation approach is proposed to solve the multiple rogue wave solutions of nonlinear equation with variable coefficients. As an application, a (2+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation is investigated. The multiple rogue wave solutions are obtained and their dynamics features are shown in some 3D and contour plots.