The soliton solutions for semidiscrete complex mKdV equation

被引：0
|
作者：
Babalic, Corina N. [1 ]
机构：
[1] Univ Craiova, 13 AI Cuza, Craiova 200585, Romania
来源：
INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS AND NUMERICAL METHODS (ICAMNM 2020), 3RD EDITION | 2020年 / 34卷
关键词：
SYMMETRIES;
D O I：
10.1051/itmconf/20203403002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The semidiscrete complex modified Korteweg-de Vries equation (semidiscrete cmKdV), which is the second member of the semidiscrete nonlinear Schrodinger hierarchy (Ablowitz-Ladik hierarchy), is solved using the Hirota bilinear formalism. Starting from the focusing case of semidiscrete form of cmKdV, proposed by Ablowitz and Ladik, we construct the bilinear form and build the multi-soliton solutions. The complete integrability of semidiscrete cmKdV, focusing case, is proven and results are discussed.
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页数：6
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