Higher-Dimensional KdV Equations and Their Soliton Solutions |
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| Authors: | ZHANG Yu-Feng Tam Honwah ZHAO Jing |
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| Affiliation: | 1. School of Mathematics, Liaoning Normal University, Dalian 116029, China;2. Department of Computer Science, Hong Kong Baptist University, Hong Kong, China;3. Information School, Dalian University, Dalian 116622, China |
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| Abstract: | A (2+1)-dimensional KdV equation is obtained by use of Hirotamethod, which possesses N-soliton solution, specially its exacttwo-soliton solution is presented. By employing a proper algebraictransformation and the Riccati equation, a type of bell-shapesoliton solutions are produced via regarding the variable in theRiccati equation as the independent variable. Finally, we extendthe above (2+1)-dimensional KdV equation into (3+1)-dimensionalequation, the two-soliton solutions are given. |
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| Keywords: | bilinear operator KdV equation soliton equation |
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