Conservation laws and a new expansion method for sixth order Boussinesq equation

2015 ◽  
Author(s):  
Asıf Yokuş ◽  
Doğan Kaya
Keyword(s):  
Conservation Laws ◽  
Boussinesq Equation ◽  
Expansion Method ◽  
Sixth Order

Symmetries and conservation laws for a sixth-order Boussinesq equation

2016 ◽  
Vol 89 ◽  
pp. 572-577 ◽  
Author(s):  
E. Recio ◽  
M.L. Gandarias ◽  
M.S. Bruzón
Keyword(s):  
Conservation Laws ◽  
Boussinesq Equation ◽  
Sixth Order

scholarly journals Regarding New Wave Patterns of the Newly Extended Nonlinear (2+1)-Dimensional Boussinesq Equation with Fourth Order

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 341 ◽  
Author(s):  
Juan Luis García Guirao ◽  
Haci Mehmet Baskonus ◽  
Ajay Kumar
Keyword(s):  
Fourth Order ◽  
Boussinesq Equation ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Bright Soliton ◽  
New Wave ◽  
Wave Patterns

This paper applies the sine-Gordon expansion method to the extended nonlinear (2+1)-dimensional Boussinesq equation. Many new dark, complex and mixed dark-bright soliton solutions of the governing model are derived. Moreover, for better understanding of the results, 2D, 3D and contour graphs under the strain conditions and the suitable values of parameters are also plotted.

scholarly journals Exact solutions and conservation laws for the modified equal width-Burgers equation

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 795-800 ◽  
Author(s):  
Chaudry Masood Khalique ◽  
Innocent Simbanefayi
Keyword(s):  
Conservation Laws ◽  
Burgers Equation ◽  
Expansion Method ◽  
Momentum Conservation ◽  
Travelling Wave ◽  
Travelling Wave Solutions ◽  
Lie Symmetry Method ◽  
Long Wave ◽  
Symmetry Method ◽  
Conservation Theorem

AbstractIn this paper we study the modified equal width-Burgers equation, which describes long wave propagation in nonlinear media with dispersion and dissipation. Using the Lie symmetry method in conjunction with the (G'/G)− expansion method we construct its travelling wave solutions. Also, we determine the conservation laws by invoking the new conservation theorem due to Ibragimov. As a result we obtain energy and linear momentum conservation laws.

Global existence and blow-up for the generalized sixth-order Boussinesq equation

2012 ◽  
Vol 75 (11) ◽  
pp. 4325-4338 ◽  
Author(s):  
Amin Esfahani ◽  
Luiz Gustavo Farah ◽  
Hongwei Wang
Keyword(s):  
Global Existence ◽  
Boussinesq Equation ◽  
Blow Up ◽  
Sixth Order
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