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

YAŞAR E., SAN S., SAĞLAM ÖZKAN Y.

OPEN PHYSICS, cilt.14, sa.1, ss.37-43, 2016 (SCI-Expanded) identifier identifier

  • 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.