Bäcklund transformation and CRE solvability for the negative-order modified KdV equation

被引：0
|
作者：
Jun-Feng Song
Ya-Hong Hu
Zheng-Yi Ma
机构：
[1] Lishui University,Department of Computer Science and Technology
[2] Lishui University,Department of Mathematics
来源：
Nonlinear Dynamics | 2017年 / 90卷
关键词：
Negative-order modified KdV equation; Residual symmetry; th Bäcklund transformation; Consistent Riccati expansion solvability; Exact interaction solution;
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摘要：
The residual symmetry is obtained for the negative-order modified KdV (nmKdV) equation from the truncated Painlevé expansion by using symbolic computation. The multiple residual symmetries are presented and localized by introducing auxiliary variables, and then, nth Bäcklund transformation in terms of determinant is derived. By using the consistent Riccati expansion (CRE) method, the nmKdV equation is proved to be CRE solvable and exact soliton–Weierstrass elliptic function interaction solutions are constructed from the final consistent equation.
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页码：575 / 580
页数：5
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