The Investigation of Multiple Lump Wave Solutions for the (2+1)-D Calogero-Bogoyavlenskii-Schiff Equation, Including the Interaction among Multiple Lump and Breather Wave and Multiple Lump and Rogue Wave Solutions

Abstract

This study investigates the generalized Calogero-Bogoyavlenskii-Schiff equation in a (2+1)- dimensional structure with the dependent variable transformed and a controlling parameter applied. Using the Hirota bilinear technique, we construct entirely unique structures based on multi-lump, multi-lump and breather wave, and multi-lump and rogue wave solutions. Moreover, we show that circumstances leading to multi-lump wave solutions assume satisfaction of localization, positivity, and analyticity, among other crucial properties. The density plot, contour, and three-dimensional plot made possible by Maple an excellent investigation of the features of these waves actually. The results developed have the possibility for enhancing the dynamic features of nonlinear water wave situations in fluid and plasma phenomena at higher dimensions.
Cite as:

Mahbub Hassan Khan. (2024). The Investigation of Multiple Lump Wave Solutions for the (2+1)-D Calogero-Bogoyavlenskii-Schiff Equation, Including the Interaction among Multiple Lump and Breather Wave and Multiple Lump and Rogue Wave Solutions. Journal of Applied Mathematics and Statistical Analysis, 5(2), 34–46.

https://doi.org/10.5281/zenodo.11409452