Exact Interaction Solutions of an Extended (2+1)-Dimensional Shallow Water Wave Equation
Exact Interaction Solutions of an Extended (2+1)-Dimensional Shallow Water Wave Equation
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扩展(2 1)维浅水波浪方程的精确相互作用解
DOI：
10.1088/0253-6102/68/2/165
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Temuer Chaolu
中科院分区：
文献类型：
--
作者：
Yun-Hu Wang;Hui Wang;Hong-Sheng;Temuer Chaolu
应用一致Riccati展开方法，证明了推广的（2+1）维浅水波方程的一致Riccati可解性，并得到了包括孤子-椭圆余弦波解、孤子型解在内的相互作用精确解.借助于截断Painlev ′ e展开式，给出了相应的非定域对称性，并进一步通过延长相应的扩大系统，使非定域对称性局域化.
Applying the consistent Riccati expansion method, the extended (2+1)-dimensional shallow water wave.equation is proved consistent Riccati solvable and the exact interaction solutions including soliton-cnoidal wave solutions,.solitoff-typed solutions are obtained. With the help of the truncated Painlev´e expansion, the corresponding nonlocal.symmetry is also given, and furthermore, the nonlocal symmetry is localized by prolonging the related enlarged system.