具有pt对称项的（2+1）维非局部非线性Schrödinger方程的孤子解和奇异波解

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-04-27 DOI:10.1016/j.aml.2025.109583

Jingwen Yu, Fajun Yu, Lei Li

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引用次数: 0

摘要

本文将基本的（1+1）维非线性Schrödinger方程推广为具有pt对称项的新型（2+1）维非局部非线性Schrödinger （NNLS）方程。利用Hirota双线性方法得到了（2+1）维NNLS方程的1孤子解、2孤子解、呼吸波解和奇波解。得到的一些解描述了沿y轴传播的亮波和呼吸波与沿x轴传播的长波之间的相互作用。并且（2+1）维NNLS方程具有pt对称性质和许多守恒定律，值得在非线性光学领域进行研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Soliton solutions and strange wave solutions for (2＋1)-dimensional nonlocal nonlinear Schrödinger equation with PT-symmetric term

In this paper, the fundamental (1＋1)-dimensional nonlinear Schrödinger equation is extended to a novel (2＋1)-dimensional nonlocal nonlinear Schrödinger (NNLS) equation with a PT-symmetric term. We obtain the 1-soliton solution, 2-soliton solution, breather wave and strange wave solution of the (2＋1)-dimensional NNLS equation via the Hirota bilinear method. Some obtained solutions describe the interactions between bright and breather waves propagating along the

y

-axis and long waves propagating along the

x

-axis. And the (2＋1)-dimensional NNLS equation has the PT-symmetry property and many conservation laws, it is worthy of being studied in nonlinear optics.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.