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Nonlocal symmetries, consistent tanh expansion solvability and interaction solutions for a new fifth-order nonlinear integrable equation
Waves in Random and Complex Media Pub Date : 2018-10-17 , DOI: 10.1080/17455030.2018.1497219
Hengchun Hu 1 , Yueyue Li 1 , Haidong Zhu 2
Affiliation  

The nonlocal symmetries for a new fifth-order integrable equation are obtained with the truncated Painlevé method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables and the corresponding finite transformations are computed directly. New exact solutions of the new fifth-order integrable equation are also proved to have the consistent tanh expansion form. New exact interaction excitations such as soliton–cnoidal wave solutions and soliton–periodic wave solutions are given out analytically and graphically.



中文翻译:

一个新的五阶非线性可积方程的非局部对称性,一致的tanh扩张可解性和相互作用解

使用截断的Painlevé方法获得了新的五阶可积方程的非局部对称性。通过引入辅助因变量,可以将非局部对称性局限为李点对称性,并直接计算相应的有限变换。还证明了新的五阶可积方程的新精确解具有一致的tanh展开形式。通过解析和图形方式给出了新的精确相互作用激励,例如孤子-弦波解和孤子-周期波解。

更新日期:2020-04-20
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