摘要
Using the truncated Painlevé expansion, an auto-Baecklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili （GKP） equation are obtained by symbolic computation. Since the cylindrical Korteweg-de Vries （cKdV） equation, the cylindrical KP （cKP） equation and the generalized cKP （GcKP） equation are all special cases of the GKP equation, we can also obtain the corresponding results of these equations.
Using the truncated Painlevé expansion, an auto-Baecklund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili （GKP） equation are obtained by symbolic computation. Since the cylindrical Korteweg-de Vries （cKdV） equation, the cylindrical KP （cKP） equation and the generalized cKP （GcKP） equation are all special cases of the GKP equation, we can also obtain the corresponding results of these equations.
基金
This work is supported by the Tian Yuan Fund for Mathematics under Grants No 10426007 and the National Natural Science Foundation of China under Grants No 10471028.
