scholarly journals New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations

2021 ◽  
pp. 8-25
Author(s):  
Zafer ÖZTÜRK ◽  
Sezer SORGUN ◽  
Halis BİLGİL ◽  
Ümmügülsüm ERDİNÇ
Keyword(s):  
Exact Solutions ◽  
Boussinesq Equations ◽  
New Exact Solutions

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.

scholarly journals Applications of an Extended -Expansion Method to Find Exact Solutions of Nonlinear PDEs in Mathematical Physics

2010 ◽  
Vol 2010 ◽  
pp. 1-19 ◽  
Author(s):  
E. M. E. Zayed ◽  
Shorog Al-Joudi
Keyword(s):  
Exact Solutions ◽  
Traveling Wave Solutions ◽  
Boussinesq Equations ◽  
Expansion Method ◽  
Nonlinear Pdes ◽  
Hyperbolic Function ◽  
Soliton Equation ◽  
New Exact Solutions ◽  
Wave Solutions ◽  
Hyperbolic Function Solutions

We construct the traveling wave solutions of the (1+1)-dimensional modified Benjamin-Bona-Mahony equation, the (2+1)-dimensional typical breaking soliton equation, the (1+1)-dimensional classical Boussinesq equations, and the (2+1)-dimensional Broer-Kaup-Kuperschmidt equations by using an extended -expansion method, whereGsatisfies the second-order linear ordinary differential equation. By using this method, new exact solutions involving parameters, expressed by three types of functions which are hyperbolic, trigonometric and rational function solutions, are obtained. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions.

scholarly journals NEW EXACT SOLUTIONS FOR COUPLED SCHRÖDINGER-BOUSSINESQ EQUATIONS

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Junliang Lu ◽  
◽  
Xiaochun Hong ◽  
Qi Zhao
Keyword(s):  
Exact Solutions ◽  
Boussinesq Equations ◽  
New Exact Solutions

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

New Exact Solutions for the Variant of Boussinesq Equations

2009 ◽  
Author(s):  
Huaitang Chen ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Exact Solutions ◽  
Boussinesq Equations ◽  
New Exact Solutions

New Exact Solutions of Steady Plane Flows of an In Compressible Fluid of Variable Viscosity

2016 ◽  
Vol 2 (1) ◽  
Author(s):  
Sobia Younus
Keyword(s):  
Exact Solutions ◽  
Stream Function ◽  
Compressible Fluid ◽  
Variable Viscosity ◽  
Plane Motion ◽  
Transformation Technique ◽  
Vorticity Distribution ◽  
New Exact Solutions ◽  
Steady Plane ◽  
Uniform Stream

<span>Some new exact solutions to the equations governing the steady plane motion of an in compressible<span> fluid of variable viscosity for the chosen form of the vorticity distribution are determined by using<span> transformation technique. In this case the vorticity distribution is proportional to the stream function<span> perturbed by the product of a uniform stream and an exponential stream<br /><br class="Apple-interchange-newline" /></span></span></span></span>

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