Nonlocal symmetry, CRE solvability and soliton–cnoidal solutions of the (2 + 1)-dimensional modified KdV-Calogero–Bogoyavlenkskii–Schiff equation
Nonlocal symmetry, CRE solvability and soliton–cnoidal solutions of the (2 + 1)-dimensional modified KdV-Calogero–Bogoyavlenkskii–Schiff equation
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(2 1) 维修正 KdV-Calogero-Bogoyavlenkskii-Schiff 方程的非局部对称性、CRE 可解性和孤子椭圆曲线解
DOI：
10.1007/s11071-017-3449-6
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Hui Wang
中科院分区：
文献类型：
--
作者：
Yun-Hu Wang;Hui Wang
本文分别用截断Painlevé展开法和一致Riccati展开法研究了一个修正的KdV-CBS方程。结果表明，修正的KdV-CBS.equationhasanonlocalsymmetryrelatedtotheresidue.of具有截断的Painlevé展开式.并证明了修正的KdV-CBS方程是相容的Ric-.cati展开可解的。此外，借助于相容的Riccati展开方法，明确地给出了孤子-椭圆波相互作用的解。
In this paper, a modified KdV-CBS equa-.tion is investigated by using the truncated Painlevé.expansion and consistent Riccati expansion method,.respectively. It is shown that the modified KdV-CBS.equationhasanonlocalsymmetryrelatedtotheresidue.of its truncated Painlevé expansion. It is also proved.that the modified KdV-CBS equation is consistent Ric-.cati expansion solvable. Furthermore, with the help of.the consistent Riccati expansion method, the soliton–.cnoidal wave interaction solutions are explicitly given.