scholarly journals Double criticality and the two-way Boussinesq equation in stratified shallow water hydrodynamics

2016 ◽  
Vol 28 (6) ◽  
pp. 062103 ◽  
Author(s):  
Thomas J. Bridges ◽  
Daniel J. Ratliff
Keyword(s):  
Shallow Water ◽  
Boussinesq Equation

scholarly journals Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity

2018 ◽  
Vol 23 (6) ◽  
pp. 942-950 ◽  
Author(s):  
Anjan Biswasa ◽  
Mehmet Ekici ◽  
Abdullah Sonmezoglu
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Solitary Waves ◽  
Water Waves ◽  
Trial Function ◽  
Boussinesq Equation ◽  
Solitary Wave Solutions ◽  
Shallow Water Waves ◽  
Wave Solutions ◽  
Extended Trial

This paper discusses shallow water waves that is modeled with Boussinesq equation that comes with dual dispersion and logarithmic nonlinearity. The extended trial function scheme retrieves exact Gaussian solitary wave solutions to the model.

Lump dynamics of a generalized two-dimensional Boussinesq equation in shallow water

2017 ◽  
Vol 91 (2) ◽  
pp. 1249-1259 ◽  
Author(s):  
Xing Lü ◽  
Jian-Ping Wang ◽  
Fu-Hong Lin ◽  
Xian-Wei Zhou
Keyword(s):  
Shallow Water ◽  
Boussinesq Equation ◽  
Two Dimensional

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

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 37-43 ◽  
Author(s):  
Emrullah Yaşar ◽  
Sait San ◽  
Yeşim Sağlam Özkan
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Shallow Water ◽  
Water Waves ◽  
Function Method ◽  
Boussinesq Equation ◽  
Lie Point Symmetries ◽  
Shallow Water Waves ◽  
Non Linear ◽  
Ill Posed

AbstractIn 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.

scholarly journals Dynamics of shallow water waves with Boussinesq equation

2013 ◽  
Author(s):  
A.J.M. Jawad ◽  
M.D. Petković ◽  
P. Laketa ◽  
A. Biswas
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Boussinesq Equation ◽  
Shallow Water Waves
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