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Explicit soliton–cnoidal wave interaction solutions for the (2+1)-dimensional negative-order breaking soliton equation
Waves in Random and Complex Media ( IF 4.051 ) Pub Date : 2018-07-09 , DOI: 10.1080/17455030.2018.1479548
Jinxi Fei 1 , Weiping Cao 1
Affiliation  

By using the truncated Painlevé expansion, we construct the residual symmetry for the (2+1)-dimensional negative-order breaking soliton equation. It is found that such nonlocal symmetry can be transformed to local Lie point symmetries by introducing auxiliary variables. The multiple residual symmetries are presented via the linear superposition of the single one. Based on the localized multiple residual symmetries, the n-th Bäcklund transformation is obtained in terms of determinant. Via the aid of the link between the truncated Painlevé expansion and the CTE method, we derive the explicit soliton–cnoidal wave interaction solutions for the (2+1)-dimensional NBS equation.



中文翻译:

(2 + 1)维负阶破裂孤子方程的显式孤子-正弦波相互作用解

通过使用截断的Painlevé展开,我们构造了(2 + 1)维负序破坏孤子方程的剩余对称性。发现可以通过引入辅助变量将这种非局部对称性转换为局部李点对称性。多个残差对称性通过单个一个的线性叠加表示。基于局部多个残差对称性,根据行列式获得第n个Bäcklund变换。通过截断的Painlevé展开和CTE方法之间的联系,我们得出了(2 + 1)维NBS方程的显式孤子-正弦波相互作用解。

更新日期:2020-03-30
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