Travelling wave solutions of some classes of nonlinear evolution equations in (1+1) and higher dimensions

2004 ◽  
Vol 64 (2) ◽  
pp. 247-258 ◽  
Author(s):  
A.H. Khater ◽  
W. Malfliet ◽  
E.S. Kamel
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Higher Dimensions ◽  
Travelling Wave ◽  
Nonlinear Evolution Equations ◽  
Travelling Wave Solutions ◽  
Wave Solutions

The Functional Variable Method to Find New Exact Solutions of the Nonlinear Evolution Equations with Dual-Power-Law Nonlinearity

2020 ◽  
Vol 21 (3-4) ◽  
pp. 249-257 ◽  
Author(s):  
Hadi Rezazadeh ◽  
Javad Vahidi ◽  
Asim Zafar ◽  
Ahmet Bekir
Keyword(s):  
Power Law ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Travelling Wave ◽  
Nonlinear Evolution Equations ◽  
Travelling Wave Solutions ◽  
Wave Solutions ◽  
Functional Variable ◽  
Functional Variable Method ◽  
Dual Power

AbstractIn this work, we established new travelling wave solutions for some nonlinear evolution equations with dual-power-law nonlinearity namely the Zakharov–Kuznetsov equation, the Benjamin–Bona–Mahony equation and the Korteweg–de Vries equation. The functional variable method was used to construct travelling wave solutions of nonlinear evolution equations with dual-power-law nonlinearity. The travelling wave solutions are expressed by generalized hyperbolic functions and the rational functions. This method presents a wider applicability for handling nonlinear wave equations.

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