OPEN PHYSICS, vol.14, no.1, pp.37-43, 2016 (SCI-Expanded)
Article / Article
Science Citation Index Expanded (SCI-EXPANDED), Scopus
ill posed Boussinesq equation, conservation laws, nonlinear self-adjointness, exp-function method, exact solutions, TRAVELING-WAVE SOLUTIONS, SINE-COSINE METHOD, SOLITARY WAVE, (G'/G)-EXPANSION METHOD, EVOLUTION-EQUATIONS, TANH METHOD, SOLITONS, SYMMETRIES
Bursa Uludag University Affiliated:
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.