New interaction solutions and nonlocal symmetry of an equation combining the modified Calogero–Bogoyavlenskii–Schiff equation with its negative-order form  

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作  者:Hengchun Hu Feiyan Liu 

机构地区:[1]College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China

出  处:《Communications in Theoretical Physics》2020年第6期13-17,共5页理论物理通讯(英文版)

基  金:supported by National Natural Science Foundation of China(No.11471215);Shanghai Natural Science Foundation(No.18ZR142600)。

摘  要:The nonlocal symmetry is derived for an equation combining the modified Calogero–Bogoyavlenskii–Schiff equation with its negative-order form from the truncated Painlevéexpansion method.The nonlocal symmetries are localized to the Lie point symmetry by introducing new auxiliary dependent variables.The finite symmetry transformation and the Lie point symmetry for the prolonged system are solved directly.Many new interaction solutions among soliton and other types of interaction solutions for the modified Calogero–Bogoyavlenskii–Schiff equation with its negative-order form can be obtained from the consistent condition of the consistent tanh expansion method by selecting the proper arbitrary constants.

关 键 词:nonlocal symmetries consistent tanh expansion method interaction solutions 

分 类 号:O175.29[理学—数学]

 

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