EXACT SOLUTIONS OF THE VARIANT BOUSSINESQ EQUATIONS

2018 ◽  
Vol 107 (1) ◽  
pp. 53-69
Author(s):  
Fen Wang ◽  
Zhongzhou Dong
Keyword(s):  
Exact Solutions ◽  
Boussinesq Equations ◽  
Variant Boussinesq Equations

scholarly journals On the Variant Boussinesq Equations

1997 ◽  
Vol 52 (4) ◽  
pp. 335-336
Author(s):  
Yi-Tian Gao ◽  
Bo Tian
Keyword(s):  
Solitary Wave ◽  
Exact Solutions ◽  
Boussinesq Equations ◽  
New Exact Solutions ◽  
Variant Boussinesq Equations

Abstract We extend the generalized tan h method to the variant Boussinesq equations and obtain certain solitary-wave and new exact solutions.

All traveling wave exact solutions of the variant Boussinesq equations

2015 ◽  
Vol 268 ◽  
pp. 865-872 ◽  
Author(s):  
Wenjun Yuan ◽  
Fanning Meng ◽  
Yong Huang ◽  
Yonghong Wu
Keyword(s):  
Exact Solutions ◽  
Traveling Wave ◽  
Boussinesq Equations ◽  
Variant Boussinesq Equations

An Improved Modified Extended tanh-Function Method

2006 ◽  
Vol 61 (3-4) ◽  
pp. 103-115 ◽  
Author(s):  
Zonghang Yang ◽  
Benny Y. C. Hon
Keyword(s):  
Exact Solutions ◽  
Function Method ◽  
Boussinesq Equation ◽  
Nonlinear Partial Differential Equations ◽  
Boussinesq Equations ◽  
Solitary Wave Solutions ◽  
New Exact Solutions ◽  
Wave Solutions ◽  
Variant Boussinesq Equations ◽  
Triangular Type

In this paper we further improve the modified extended tanh-function method to obtain new exact solutions for nonlinear partial differential equations. Numerical applications of the proposed method are verified by solving the improved Boussinesq equation and the system of variant Boussinesq equations. The new exact solutions for these equations include Jacobi elliptic doubly periodic type,Weierstrass elliptic doubly periodic type, triangular type and solitary wave solutions

scholarly journals Exact Solutions Superimposed with Nonlinear Plane Waves

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
B. S. Desale ◽  
Vivek Sharma
Keyword(s):  
Exact Solution ◽  
Plane Wave ◽  
Incompressible Fluid ◽  
Exact Solutions ◽  
Large Scale ◽  
Plane Waves ◽  
Boussinesq Equations ◽  
Integral Curves ◽  
Nonlinear Plane ◽  
Scale Motion

The flow of fluid in atmosphere and ocean is governed by rotating stratified Boussinesq equations. Through the literature, we found that many researchers are trying to find the solutions of rotating stratified Boussinesq equations. In this paper, we have obtained special exact solutions and nonlinear plane waves. Finally, we provide exact solutions to rotating stratified Boussinesq equations with large scale motion superimposed with the nonlinear plane waves. In support of our investigations, we provided two examples: one described the special exact solution and in second example, we have determined the special exact solution superimposed with nonlinear plane wave. Also, we depicted some integral curves that represent the flow of an incompressible fluid particle on the planex1+x2=L(constant)as the particular case.

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