Multiple rogue wave solutions for (2+1)-dimensional Boussinesq equation

TL;DR

This paper introduces a modified symbolic computation method to derive multiple rogue wave solutions for a (2+1)-dimensional Boussinesq equation, simplifying the process by avoiding the Hirota bilinear form and visualizing wave dynamics.

Contribution

A novel modified symbolic computation approach is developed to find rogue wave solutions without requiring Hirota bilinear form for the (2+1)-dimensional Boussinesq equation.

Findings

Multiple rogue wave solutions are successfully obtained.

Wave dynamics are visualized in 3D and contour plots.

The new method simplifies the solution process.

Abstract

In this paper, a modified symbolic computation approach is proposed. The multiple rogue wave solutions of a generalized (2+1)-dimensional Boussinesq equation are obtained by using the modified symbolic computation approach. Dynamics features of these obtained multiple rogue wave solutions are displayed in 3D and contour plots. Compared with the original symbolic computation approach, our method does not need to find Hirota bilinear form of nonlinear system.