Nonlinear self adjointness, conservation laws and exact solutions of ill-posed Boussinesq equation

In this work, we consider the ill-posed Boussinesq equation which arises in shallow water waves and non-linear lattices. We prove that the ill-posed Boussinesq equation is nonlinearly self-adjoint. Using this property and Lie point symmetries, we construct conservation laws for the underlying equati...

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Bibliographic Details
Main Authors: Yaşar Emrullah, San Sait, Özkan Yeşim Sağlam
Format: Article
Language:English
Published: De Gruyter 2016-01-01
Series:Open Physics
Subjects:
Online Access:https://doi.org/10.1515/phys-2016-0007