Hirota Bilinear Approach to Multi-Component Nonlocal Nonlinear Schrödinger Equations

Autor:	Yu-Shan Bai, Li-Na Zheng, Wen-Xiu Ma, Yin-Shan Yun
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	multi-component nonlocal nonlinear Schrödinger equations Hirota bilinear method breather solutions Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 16, p 2594 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12162594
Popis:	Nonlocal nonlinear Schrödinger equations are among the important models of nonlocal integrable systems. This paper aims to present a general formula for arbitrary-order breather solutions to multi-component nonlocal nonlinear Schrödinger equations by using the Hirota bilinear method. In particular, abundant wave solutions of two- and three-component nonlocal nonlinear Schrödinger equations, including periodic and mixed-wave solutions, are obtained by taking appropriate values for the involved parameters in the general solution formula. Moreover, diverse wave structures of the resulting breather and periodic wave solutions with different parameters are discussed in detail.
Databáze:	Directory of Open Access Journals
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