دورية أكاديمية
Solutions and continuum limits to nonlocal discrete modified Korteweg-de Vries equations.
| العنوان: | Solutions and continuum limits to nonlocal discrete modified Korteweg-de Vries equations. |
|---|---|
| المؤلفون: | Song-lin Zhao, Xiao-bo Xiang, Shou-feng Shen |
| المصدر: | Mathematical Methods in the Applied Sciences; 5/15/2024, Vol. 47 Issue 7, p5879-5893, 15p |
| مصطلحات موضوعية: | KORTEWEG-de Vries equation, MATHEMATICAL continuum |
| مستخلص: | 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. [ABSTRACT FROM AUTHOR] |
| Copyright of Mathematical Methods in the Applied Sciences is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| قاعدة البيانات: | Complementary Index |
Full Text Finder كن أول من يترك تعليقا!