Darboux transformation and solution of the modified Korteweg-de Vries equation

被引：0
|
作者：
Kemelbekova, G. [1 ]
Yesmakhanova, K. [1 ]
Tapeeva, S. [2 ]
Tungushbaeva, D. [2 ]
机构：
[1] LN Gumilyov Eurasian Natl Univ, Astana, Kazakhstan
[2] Al Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan
来源：
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2015年 / 80卷 / 04期
关键词：
Darboux transformation; seed" solutions; (2+1)-dimensional modified Korteweg-de Vries equation; soliton solutions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Darboux transformation and a comprehensive approach to construct exact solutions of the nonlinear differential equation are counted. It is applied to construct the explicit solutions of the (2+1)-dimensional modified Korteweg-de Vries (KdV) equation. In this work we derive one flod Darboux transformation of the modified KdV equation. Using the obtained Darboux transformation, the one-soliton solution is built from the "seed" solution. Further, we will construct other explicit solutions for this equation.
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页码：98 / 102
页数：5
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