scholarly journals Solitary and Periodic Wave Solutions of the Fourth Order Boussinesq Equation Through the Novel Exponential Expansion Method

2019 ◽  
Vol 7 (2) ◽  
pp. 49 ◽  
Author(s):  
Ayrin Aktar ◽  
Md Mashiur Rahhman ◽  
Kamalesh Chandra Roy
Keyword(s):  
Fourth Order ◽  
Boussinesq Equation ◽  
Expansion Method ◽  
Periodic Wave ◽  
The Novel ◽  
Periodic Wave Solutions ◽  
Wave Solutions ◽  
Exponential Expansion

Nonlocal Symmetry and Consistent Tanh Expansion Method for the Coupled Integrable Dispersionless Equation

2016 ◽  
Vol 71 (3) ◽  
pp. 235-240 ◽  
Author(s):  
Hengchun Hu ◽  
Xiao Hu ◽  
Bao-Feng Feng
Keyword(s):  
Soliton Solutions ◽  
Expansion Method ◽  
Periodic Wave ◽  
Cnoidal Wave ◽  
Nonlocal Symmetry ◽  
Nonlocal Symmetries ◽  
Periodic Wave Solutions ◽  
Wave Solutions

AbstractNonlocal symmetries are obtained for the coupled integrable dispersionless (CID) equation. The CID equation is proved to be consistent, tanh-expansion solvable. New, exact interaction excitations such as soliton–cnoidal wave solutions, soliton–periodic wave solutions, and multiple resonant soliton solutions are discussed analytically and shown graphically.

Periodic Wave Solutions for (2+1)-Dimensional Boussinesq Equation and (3+1)-Dimensional Kadomtsev–Petviashvili Equation

2008 ◽  
Vol 50 (5) ◽  
pp. 1169-1176 ◽  
Author(s):  
Zhang Huan ◽  
Tian Bo ◽  
Zhang Hai-Qiang ◽  
Geng Tao ◽  
Meng Xiang-Hua ◽  
...  
Keyword(s):  
Boussinesq Equation ◽  
Periodic Wave ◽  
Periodic Wave Solutions ◽  
Wave Solutions ◽  
Petviashvili Equation

M-fractional solitons and periodic wave solutions to the Hirota–Maccari system

2019 ◽  
Vol 33 (05) ◽  
pp. 1950052 ◽  
Author(s):  
Tukur Abdulkadir Sulaiman ◽  
Gulnur Yel ◽  
Hasan Bulut
Keyword(s):  
Fractional Derivative ◽  
Gordon Equation ◽  
Expansion Method ◽  
Periodic Wave ◽  
3 Dimensional ◽  
Periodic Wave Solutions ◽  
Wave Solutions

In this study, we construct several wave solutions to the nonlinear fractional Hirota–Maccari equation with a truncated M-fractional derivative via the extended sinh-Gordon equation expansion method. The constraint conditions that guarantee the existence of valid solutions are stated. We use suitable values of parameters in plotting the 2- and 3-dimensional graphs of the reported solutions.

Investigation of (G'/G)-Expansion Method and Exact Solutions for the (2+1)-Dimensional Calogero-Bogoyavlenskii-Schiff System

2013 ◽  
Vol 432 ◽  
pp. 235-239
Author(s):  
Gen Hai Xu ◽  
Song Hua Ma ◽  
Jian Ping Fang
Keyword(s):  
Solitary Wave ◽  
Exact Solutions ◽  
Expansion Method ◽  
Periodic Wave ◽  
Solitary Wave Solutions ◽  
Variable Separation ◽  
Periodic Wave Solutions ◽  
New Family ◽  
Wave Solutions ◽  
Variable Separation Method

With the help of the symbolic computation system Maple and the (G'/G)-expansion method and a linear variable separation method, a new family of exact solutions (including solitary wave solutions,periodic wave solutions and rational function solutions) of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff system (2DCBS) is derived.

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