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Multiple soliton solutions and symmetry analysis of a nonlocal coupled KP system     被引量:1

文献类型:期刊文献

中文题名:Multiple soliton solutions and symmetry analysis of a nonlocal coupled KP system

作者:Xi-zhong Liu[1];Jie-tong Li[1];Jun Yu[1]

机构:[1]Institute of Nonlinear Science,Shaoxing University,Shaoxing 312000,China

年份:2023

卷号:75

期号:8

起止页码:69

中文期刊名:理论物理通讯:英文版

外文期刊名:Communications in Theoretical Physics

收录:CSTPCD、、CSCD2023_2024、Scopus、CSCD、PubMed

基金:supported by the National Natural Science Foundation of China under Grant Nos.12175148,11975156.

语种:英文

中文关键词:nonlocal coupled Kadomtsev-Petviashivili system;N-soliton solutions;symmetry reduction solutions

中文摘要:A nonlocal coupled Kadomtsev–Petviashivili(ncKP)system with shifted parity(${\hat{P}}_{s}^{x}$)and delayed time reversal(${\hat{T}}_{d}$)symmetries is generated from the local coupled Kadomtsev–Petviashivili(cKP)system.By introducing new dependent variables which have determined parities under the action of${\hat{P}}_{s}^{x}{\hat{T}}_{d}^{d}$,the ncKP is transformed to a local system.Through this way,multiple even number of soliton solutions of the ncKPI system are generated from N-soliton solutions of the cKP system,which become breathers by choosing appropriate parameters.The standard Lie symmetry method is also applied on the ncKPII system to get its symmetry reduction solutions.

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