Solutions and continuum limits to nonlocal discrete modified Korteweg-de Vries equations

被引：1
作者：
Zhao, Song-lin [1 ]
Xiang, Xiao-bo [1 ]
Shen, Shou-feng [1 ]
机构：
[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 07期
基金：
中国国家自然科学基金;
关键词：
bilinearization reduction approach; continuum limits; dynamics; nonlocal discrete mKdV equations; solutions; ION-ACOUSTIC SOLITON; INVERSE SCATTERING; SCHRODINGER SYSTEMS; INTEGRABILITY; DEVRIES;
D O I：
10.1002/mma.9895
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we take advantage of the bilinearization reduction method to consider the local and nonlocal reduction of a discrete Ablowitz-Kaup-Newell-Segur equation. Exact solutions in double Casoratian form to the reduced nonlocal discrete modified Korteweg-de Vries equations are constructed. The dynamics of soliton solutions are analyzed and illustrated by asymptotic analysis. Moreover, both semi-continuous limit and full continuous limit are applied to obtain the local and nonlocal semi-discrete modified Korteweg-de Vries equations, as well as the local and nonlocal continuous modified Korteweg-de Vries equations.
引用
收藏
页码：5879 / 5893
页数：15
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