Some invariant solutions and conservation laws of a type of long-water wave system

Abstract We propose a generalized long-water wave system that reduces to the standard water wave system. We also obtain the Lax pair and symmetries of the generalized shallow-water wave system and single out some their similarity reductions, group-invariant solutions, and series solutions. We furthe...

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Bibliographic Details
Main Authors: Xiangzhi Zhang, Yufeng Zhang
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-019-2422-8