scholarly journals Exact Traveling Wave Solutions for the Modified Double Sine-Gordon Equation

2015 ◽  
Vol 7 (2) ◽  
pp. 182
Author(s):  
Ying Huang ◽  
Bao Rong Li
Keyword(s):  
Periodic Solutions ◽  
Traveling Wave ◽  
Gordon Equation ◽  
Traveling Wave Solutions ◽  
Sine Gordon Equation ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions ◽  
Different Types ◽  
Elementary Methods ◽  
Sg Equation

With some elementary  methods, a number of new travelling  solutions of  the  modified double Sine-Gordon (SG) equation are obtained,including different types of exact solion solutions and exact periodic solutions.

scholarly journals The Improved(G’/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Hasibun Naher ◽  
Farah Aini Abdullah
Keyword(s):  
Periodic Solutions ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Expansion Method ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions

we apply the improved(G′/G)-expansion method for constructing abundant new exact traveling wave solutions of the (2+1)-dimensional Modified Zakharov-Kuznetsov equation. In addition,G″+λG′+μG=0together withb(α)=∑q=−wwpq(G′/G)qis employed in this method, wherepq(q=0,±1,±2,…,±w),λandμare constants. Moreover, the obtained solutions including solitons and periodic solutions are described by three different families. Also, it is noteworthy to mention out that, some of our solutions are coincided with already published results, if parameters taken particular values. Furthermore, the graphical presentations are demonstrated for some of newly obtained solutions.

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