Work

Hirota Bilinear Approach to Multi-Component Nonlocal Nonlinear Schrödinger Equations

Year: 2024

Type: article

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.

Source: Mathematics

DOI: 10.3390/math12162594

Authors: Yu-Shan Bai, Li-Na Zheng, Wen-Xiu Ma, Yin-Shan Yun

Institutions: Inner Mongolia University of Technology, Zhejiang Normal University, King Abdulaziz University, University of South Florida, North-West University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funders: National Natural Science Foundation of China, Natural Science Foundation of Inner Mongolia