Nonlinear self adjointness, conservation laws and exact solutions of ill-posed Boussinesq equation
OPEN PHYSICS, vol.14, no.1, pp.37-43, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 14 Issue: 1
- Publication Date: 2016
- Doi Number: 10.1515/phys-2016-0007
- Journal Name: OPEN PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.37-43
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
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 equation. In addition, the generalized solitonary, periodic and compact-like solutions are constructed by the exp-function method.