Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup System

From the nonlocal symmetries of the Whitham-Broer-Kaup system, an eight-dimensional Lie algebra is found and the corresponding one-dimensional optimal system is constructed to provide an inequivalent classification. Six types of inequivalent group invariant solutions are demonstrated, some of which...

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Bibliographic Details
Main Authors: Xiaorui Hu, Yongyang Jin, Kai Zhou
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2019/1892481