| Autor: |
Song-lin Zhao, Xiao-bo Xiang, Shou-feng Shen |
| Předmět: |
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| Zdroj: |
Mathematical Methods in the Applied Sciences; 5/15/2024, Vol. 47 Issue 7, p5879-5893, 15p |
| Abstrakt: |
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] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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