Generalized lump solutions, classical lump solutions and rogue waves of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation

Under investigation in this paper is the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like (CDGKS-like) equation. Based on bilinear neural network method, the generalized lump solution, classical lump solution and the novel analytical solution are constructed by giving some specific activation functions in the single hidden layer neural network model and the 3-2-2 neural network model. By means of symbolic computation, these analytical solutions and corresponding rogue waves are obtained with the help of Maple software. These results fill the blank of the CDGKS-like equation in the existing literature. Via various three-dimensional plots, curve plots, density plots and contour plots, dynamical characteristics of these waves are exhibited. The effective methods used in this paper is helpful to study the nonlinear evolution equations in plasmas, mathematical physics, electromagnetism and fluid dynamics. (C) 2021 Elsevier Inc. All rights reserved.

Automated summary

This paper investigates the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like (CDGKS-like) equation and constructs generalized lump solutions, classical lump solutions and novel solutions using neural network methods. The results fill a gap in the existing literature on the CDGKS-like equation and showcase the dynamical characteristics of these waves through various plots. The effective methods employed in this study are beneficial for studying nonlinear evolution equations in plasmas, mathematical physics, electromagnetism, and fluid dynamics.