Nonlinear self adjointness, conservation laws and exact solutions of ill-posed Boussinesq equation
OPEN PHYSICS, cilt.14, sa.1, ss.37-43, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 1
- Basım Tarihi: 2016
- Doi Numarası: 10.1515/phys-2016-0007
- Dergi Adı: OPEN PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.37-43
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
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.