Quasi-Periodic, Periodic Waves, and Soliton Solutions for the Combined KdV-mKdV Equation
2009 ◽
Vol 64
(9-10)
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pp. 639-645
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Keyword(s):
De Vries
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By introducing the generalized Jacobi elliptic function, a new improved Jacobi elliptic function method is used to construct the exact travelling wave solutions of the nonlinear partial differential equations in a unified way. With the help of the improved Jacobi elliptic function method and symbolic computation, some new exact solutions of the combined Korteweg-de Vries-modified Korteweg-de Vries (KdV-mKdV) equation are obtained. Based on the derived solution, we investigate the evolution of doubly periodic and solitons in the background waves. Also, their structures are further discussed graphically.
2016 ◽
Vol 2016
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pp. 1-10
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2006 ◽
Vol 61
(1-2)
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pp. 1-6
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2021 ◽
Vol 35
(13)
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pp. 2150168
2012 ◽
Vol 86
(12)
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pp. 1107-1113
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2010 ◽
Vol 65
(3)
◽
pp. 197-202
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2002 ◽
Vol 19
(9)
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pp. 1228-1230
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2011 ◽
Vol 62
(12)
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pp. 4402-4414
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