Universal Journal of Mathematics and Mathematical Sciences
Volume 2, Issue 1, Pages 29 - 35
(July 2012)
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NEW EXACT SOLUTIONS AND DROMION STRUCTURES FOR THE EXTENDED
-DIMENSIONAL SHALLOW WATER WAVE EQUATION
Qing-Bao Ren and Song-Hua Ma
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Abstract:
With the Riccati mapping method and a variable separation method, a series of variable separation solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) to the extended (2 + 1)-dimensional shallow water wave (SWW) equation is derived. Based on the derived solitary wave solution, we obtain some special dromion structures in this short note. |
| Keywords and phrases: Riccati mapping method, extended (2 + 1)-dimensional shallow water wave equation, variable separation solutions, dromion structures. |
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