Painlevé Properties And Exact Solutions Of The Generalized Coupled Kdv Equations

Li-Jun Ye, Ji Lin
2005 Zeitschrift fur Naturforschung A-A Journal of Physical Sciences  
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
more » ... liptic function expansion approach, some types of new exact solutions are obtained.
doi:10.1515/zna-2005-0502 fatcat:lgfwvtnusvafvp6ohrz7zfk54i