Solitary wave solutions and modulational instability in a system of coupled complex Newell–Segel–Whitehead equations

2016 ◽  
Vol 41 ◽  
pp. 118-139 ◽  
Author(s):  
Asawari Kelkar ◽  
Emmanuel Yomba ◽  
Rabia Djellouli
Keyword(s):  
Solitary Wave ◽  
Modulational Instability ◽  
Solitary Wave Solutions ◽  
Wave Solutions

scholarly journals Construction of new solitary wave solutions of generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony and simplified modified form of Camassa-Holm equations

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 896-909 ◽  
Author(s):  
Dianchen Lu ◽  
Aly R. Seadawy ◽  
Mujahid Iqbal
Keyword(s):  
Solitary Wave ◽  
Nonlinear Partial Differential Equations ◽  
Research Work ◽  
Traveling Wave Solutions ◽  
Elliptic Functions ◽  
Mapping Method ◽  
New Method ◽  
Auxiliary Equation ◽  
Solitary Wave Solutions ◽  
Wave Solutions

AbstractIn this research work, for the first time we introduced and described the new method, which is modified extended auxiliary equation mapping method. We investigated the new exact traveling and families of solitary wave solutions of two well-known nonlinear evaluation equations, which are generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony and simplified modified forms of Camassa-Holm equations. We used a new technique and we successfully obtained the new families of solitary wave solutions. As a result, these new solutions are obtained in the form of elliptic functions, trigonometric functions, kink and antikink solitons, bright and dark solitons, periodic solitary wave and traveling wave solutions. These new solutions show the power and fruitfulness of this new method. We can solve other nonlinear partial differential equations with the use of this method.

Solitary wave solutions to a system of Boussinesq-like equations

1992 ◽  
Vol 2 (1) ◽  
pp. 45-50 ◽  
Author(s):  
Peter L. Christiansen ◽  
Virginia Muto ◽  
Salvatore Rionero
Keyword(s):  
Solitary Wave ◽  
Solitary Wave Solutions ◽  
Wave Solutions
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