Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation

Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation
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(3 1) 维广义浅水方程的 Grammian 和 Pfaffian 解以及 Pfaffian 化

DOI:
10.1088/1674-1056/21/7/070212
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发表时间:
2012-07
期刊:
影响因子:
1.7
通讯作者:
Wei Xu
Wei Xu
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Yaning Tang;WenXiu Ma;Wei Xu

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基于Grammian和Pfaffian导数公式,得到了(3+1)维广义浅水方程的Hirota双线性形式的Grammian和Pfaffian解。利用pfaffan化方法对方程进行了pfaffan扩展,得到了耦合系统的wronski型和gramm型pfaffan解。
Based on the Grammian and Pfaffian derivative formulae, Grammian and Pfaffian solutions are obtained for a (3+1)-dimensional generalized shallow water equation in the Hirota bilinear form. Moreover, a Pfaffian extension is made for the equation by means of the Pfaffianization procedure, the Wronski-type and Gramm-type Pfaffian solutions of the resulting coupled system are presented.
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