1113 Instability of solitary wave solutions in the generalized KP equation

2001 ◽  
Vol 2001 (0) ◽  
pp. 157
Author(s):  
Takeshi Kataoka ◽  
Michihisa Tsutahara
Keyword(s):  
Solitary Wave ◽  
Solitary Wave Solutions ◽  
Kp Equation ◽  
Wave Solutions ◽  
Generalized Kp Equation

scholarly journals Existence results of solitary wave solutions for a delayed Camassa-Holm-KP equation

2019 ◽  
Vol 18 (6) ◽  
pp. 3367-3387
Author(s):  
Xiaowan Li ◽  
◽  
Zengji Du ◽  
Shuguan Ji ◽  
◽  
...  
Keyword(s):  
Solitary Wave ◽  
Existence Results ◽  
Solitary Wave Solutions ◽  
Kp Equation ◽  
Wave Solutions

Soliton Solutions for Some Nonlinear Partial Differential Equations in Mathematical Physics Using He’s Variational Method

2020 ◽  
Vol 21 (2) ◽  
pp. 147-158 ◽  
Author(s):  
Mohammed K. Elboree
Keyword(s):  
Solitary Wave ◽  
Inverse Method ◽  
Variational Principles ◽  
Ritz Method ◽  
Nonlinear Partial Differential Equations ◽  
Soliton Solutions ◽  
Mathematical Physics ◽  
Solitary Wave Solutions ◽  
Kp Equation ◽  
Wave Solutions

AbstractIn this paper, we constructed the variational principles for Bogoyavlensky–Konopelchenko equation, the generalized (3+1)-dimensional nonlinear wave in liquid containing gas bubbles and a new coupled Kadomtsev–Petviashvili (KP) equation via He’s semi-inverse method. Based on this formulation, we obtained the solitary wave solutions via Ritz method. We explained the properties of the soliton waves numerically by some figures. Finally, the physical interpretation for these solutions are obtained.

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.

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