Decomposition solutions and B\"acklund transformations of the BKP and CKP equations
Exactly Solvable and Integrable Systems
2022-10-04 v1
Abstract
In this paper, we define the modified formal variable separation approach and show how it determines, in a remarkably simple manner, the decomposition solutions, the B\"acklund transformations, the Lax pair, and the linear superposition solution of the B-type Kadomtsev-Petviashvili equation. Also, the decomposition solutions, the B\"acklund transformation and the Lax pair relating to the C-type Kadomtsev-Petviashvili equation is obtain by the same technique. This indicates that the decomposition may provide a description of integrable behavior in nonlinear systems, while, at the same time, establishing an efficient method for determining relationships between the particular systems.
Keywords
Cite
@article{arxiv.2210.00542,
title = {Decomposition solutions and B\"acklund transformations of the BKP and CKP equations},
author = {Xiazhi Hao and S. Y. Lou},
journal= {arXiv preprint arXiv:2210.00542},
year = {2022}
}