Painlevé Properties And Exact Solutions Of The Generalized Coupled Kdv Equations
2005 ◽
Vol 60
(5)
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pp. 313-320
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Keyword(s):
The generalized coupled Korteweg-de Vries (GCKdV) equations as one case of the four-reduction of the Kadomtsev-Petviashvili (KP) hierarchy are studied in details. The Painlevé properties of the model are proved by using the standard Weiss-Tabor-Carnevale (WTC) method, invariant, and perturbative Painlev´e approaches. The meaning of the negative index k = −2 is shown, which is indistinguishable from the index k = −1. Using the standard and nonstandard Painlevé truncation methods and the Jacobi elliptic function expansion approach, some types of new exact solutions are obtained.
2007 ◽
Vol 32
(5)
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pp. 1679-1685
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Keyword(s):
1998 ◽
Vol 245
(5)
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pp. 389-392
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Keyword(s):
2020 ◽
Vol 08
(05)
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pp. 793-798
2007 ◽
Vol 12
(7)
◽
pp. 1229-1241
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2005 ◽
Vol 345
(1-3)
◽
pp. 161-166
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2010 ◽
Vol 217
(6)
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pp. 2808-2820
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