Multiple rogue wave solutions for the generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation

TL;DR

This paper derives multiple rogue wave solutions for a complex (2+1)-dimensional nonlinear equation using symbolic computation, illustrating their dynamics through various graphical representations.

Contribution

It introduces a method to find multiple rogue wave solutions for the generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation, including explicit examples and dynamic visualizations.

Findings

Explicit 1-, 3-, and 6-rogue wave solutions obtained.

Dynamic features of rogue waves visualized through 3D, contour, and density plots.

Demonstrates the effectiveness of symbolic computation in nonlinear wave analysis.

Abstract

Based on the symbolic computation approach, multiple rogue wave solutions of the generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation are studied. As an example, we present the 1-rogue wave solutions, 3-rogue wave solutions and 6-rogue wave solutions. Furthermore, some dynamics features of the obtained multiple rogue wave solutions are shown by 3D, contour and density graphics.