Hirota Bilinear Approach to Multi-Component Nonlocal Nonlinear Schrödinger Equations

Yu-Shan Bai (), Li-Na Zheng, Wen-Xiu Ma () and Yin-Shan Yun
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Yu-Shan Bai: Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China
Li-Na Zheng: Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China
Wen-Xiu Ma: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Yin-Shan Yun: Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China

Mathematics, 2024, vol. 12, issue 16, 1-10

Abstract: 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.

Keywords: multi-component nonlocal nonlinear Schrödinger equations; Hirota bilinear method; breather solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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