Novel Exact Solution for the Bidirectional Sixth-Order Sawada–Kotera Equation

Autor:	Hongcai Ma, Xiaoyu Chen, Aiping Deng
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	bidirectional sixth-order Sawada–Kotera equation N-soliton solution multiple-pole solution breather solution Elementary particle physics QC793-793.5
Zdroj:	Universe, Vol 9, Iss 1, p 55 (2023)
Druh dokumentu:	article
ISSN:	2218-1997 94057575
DOI:	10.3390/universe9010055
Popis:	In this paper, we take the bidirectional sixth-order Sawada–Kotera equation as an instance and use a new limit approach to generate a multiple-pole solution and the degenerate of the breather wave from the N-order soliton solution. We show not only the substitution method, but also the specific mathematical expression of the double-pole, triple-pole, and the degenerate breather solution after the substitution. Meanwhile, we give the dynamic images and trajectories of the different multiple-pole solution. Moreover, we also acquire the interaction between two double-pole solutions and different nonlinear superposition solutions.
Databáze:	Directory of Open Access Journals
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