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Optical and Quantum Electronics

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01-04-2024

Nonlocal symmetry and exact solutions of the (2+1)-dimensional Gerdjikov–Ivanov equation

Authors: Jiajia Yang, Meng Jin, Xiangpeng Xin

Published in: Optical and Quantum Electronics | Issue 4/2024

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Abstract

Gerdjikov–Ivanov (GI) equation was widely used in quantum field theory, weakly nonlinear dispersive water waves and nonlinear optics and other fields. Based on the algorithm of constructing high-dimensional equations using the conservation laws of low-dimensional equations proposed by Lou et al, this paper we establish a new (2+1)-dimensional GI equation by using the conservation law of (1+1)-dimensional GI equations and related algorithms at first. Then we establish a closed system corresponding to the nonlocal symmetry by introducing some new equations and variables. Furthermore, we successfully obtain some exact solutions for the high-dimensional GI equations, and give some corresponding images of the solutions to analysis the dynamic behavior, including soliton solution and hyperbolic function solution.

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Title: Nonlocal symmetry and exact solutions of the (2+1)-dimensional Gerdjikov–Ivanov equation
Authors: Jiajia Yang
Meng Jin
Xiangpeng Xin
Publication date: 01-04-2024
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 4/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-024-06355-1

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