scholarly journals Travelling wave solutions of the generalized Zakharov-Kuznetsov equation via the extended generalized Riccati equation mapping method

2013 ◽  
Vol 1 (1) ◽  
Author(s):  
Olusola Tosin Kolebaje ◽  
Pelumi Akinyemi ◽  
Michael Obende
Keyword(s):  
Riccati Equation ◽  
Travelling Wave ◽  
Mapping Method ◽  
Travelling Wave Solutions ◽  
Wave Solutions ◽  
Generalized Riccati Equation

scholarly journals Abundant Exact Solition-Like Solutions to the Generalized Bretherton Equation with Arbitrary Constants

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Xiuqing Yu ◽  
Fengsheng Xu ◽  
Lihua Zhang
Keyword(s):  
Full Advantage ◽  
Riccati Equation ◽  
Travelling Wave ◽  
Travelling Wave Solutions ◽  
Wave Solutions

The Riccati equation is employed to construct exact travelling wave solutions to the generalized Bretherton equation. Taking full advantage of the Riccati equation which has more new solutions, abundant new multiple solition-like solutions are obtained for the generalized Bretherton equation.

scholarly journals Multiple Exact Travelling Solitary Wave Solutions of Nonlinear Evolution Equations

2019 ◽  
pp. 1-13
Author(s):  
M. M. El-Horbaty ◽  
F. M. Ahmed
Keyword(s):  
Riccati Equation ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Travelling Wave ◽  
Nonlinear Evolution Equations ◽  
Travelling Wave Solutions ◽  
Solitary Wave Solutions ◽  
Extended Form ◽  
Wave Solutions ◽  
Tanh Method

An extended Tanh-function method with Riccati equation is presented for constructing multiple exact travelling wave solutions of some nonlinear evolution equations which are particular cases of a generalized equation. The results of solitary waves are general compact forms with non-zero constants of integration. Taking the full advantage of the Riccati equation improves the applicability and reliability of the Tanh method with its extended form.

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