Construction, Lax integrability, bilinearization and multi-soliton solutions of a defocusing/focusing nonlocal extended modified Korteweg-de Vries equation

被引：0

作者：

Liu, Hao-Dong

Tian, Bo ^{[1
]}

Gao, Xiao-Tian

Shan, Hong-Wen

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Key Lab Math & Informat Networks, Minist Educ, Beijing 100876, Peoples R China

来源：

PHYSICS LETTERS A | 2025年 / 547卷

基金：

中国国家自然科学基金;

关键词：

Defocusing/focusing nonlocal extended; modified Korteweg-de Vries equation; Lax integrability; Bilinear forms; Multi-soliton solutions; Improved Hirota bilinear method;

D O I：

10.1016/j.physleta.2025.130528

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Certain integrable nonlocal modified Korteweg-de Vries (mKdV)-type equations have been recently studied, which can be used on the atmospheric science and oceanic dynamics. In this study, a defocusing/focusing nonlocal extended mKdV equation is constructed via the Ablowitz-Kaup-Newell-Segur (AKNS) procedure. We also discuss the Lax integrability of that equation. By virtue of the improved Hirota bilinear method, some mutli-soliton solutions and bilinear forms are obtained. Profiles of certain multi-soliton solutions are shown graphically: (1) certain periodic solitons of that equation are shown; (2) certain quasi-periodic solitons of that equation are presented.

引用

页数：5

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