Symbolic Computation and Non-travelling Wave Solutions of the (2+1)-Dimensional Korteweg de Vries Equation
2005 ◽
Vol 60
(4)
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pp. 221-228
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Keyword(s):
Abstract In this paper, with the aid of symbolic computation we improve the extended F-expansion method described in Chaos, Solitons and Fractals 22, 111 (2004) to solve the (2+1)-dimensional Korteweg de Vries equation. Using this method, we derive many exact non-travelling wave solutions. These are more general than the previous solutions derived with the extended F-expansion method. They include the Jacobi elliptic function, soliton-like trigonometric function solutions, and so on. Our method can be applied to other nonlinear evolution equations.
2011 ◽
Vol 217
(12)
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pp. 5743-5753
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2016 ◽
Vol 5
(1)
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pp. 63-74
2008 ◽
Vol 372
(4)
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pp. 417-423
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2008 ◽
Vol 38
(2)
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pp. 383-390
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