scholarly journals Application of mathematical methods for the non-linear seventh order Sawada-Kotera-Ito dynamical wave equation

2019 ◽  
Vol 23 (Suppl. 6) ◽  
pp. 2081-2093 ◽  
Author(s):  
Wafaa Aibarakati ◽  
Aly Seadaw ◽  
Noufe Aljahdaly
Keyword(s):  
Wave Equation ◽  
Algebraic Method ◽  
Travelling Wave ◽  
Physical Structure ◽  
Travelling Wave Solutions ◽  
Mathematical Methods ◽  
Kdv Equations ◽  
Article Deal ◽  
Seventh Order ◽  
Stable Solutions

This article deal with finding travelling wave solutions for the 7th order Sawada-Kotera-Ito dynamical wave equation which describes the evolution of steeper waves of shorter wavelength than KdV equations using modified extended direct algebraic method. The new solutions derived have various physical structure, we also give graphic representation of the exact and stable solutions.

scholarly journals Elliptic Travelling Wave Solutions to a Generalized Boussinesq Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Abdelfattah El Achab
Keyword(s):  
Wave Equation ◽  
Elliptic Function ◽  
Function Method ◽  
Boussinesq Equation ◽  
Travelling Wave ◽  
Travelling Wave Solutions ◽  
Weierstrass Elliptic Function ◽  
Wave Solutions ◽  
Generalized Boussinesq Equation

Travelling wave solutions for the generalized Boussinesq wave equation are studied by using the Weierstrass elliptic function method. As a result, some previously known solutions are recovered, and at the same time some new ones are also given, as well as integrable ones.

scholarly journals Travelling wave solutions for a surface wave equation in fluid mechanics

2016 ◽  
Vol 20 (3) ◽  
pp. 893-898 ◽  
Author(s):  
Yi Tian ◽  
Zai-Zai Yan
Keyword(s):  
Wave Equation ◽  
Fluid Mechanics ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Expansion Method ◽  
Travelling Wave ◽  
Linear Wave ◽  
Travelling Wave Solutions ◽  
Linear Wave Equation ◽  
Wave Solutions

This paper considers a non-linear wave equation arising in fluid mechanics. The exact traveling wave solutions of this equation are given by using G'/G-expansion method. This process can be reduced to solve a system of determining equations, which is large and difficult. To reduce this process, we used Wu elimination method. Example shows that this method is effective.

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