论文信息 - Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations

Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations

Among the topics attracting much attention in mathematical physics are the variable-coefficient generalizations of the well-known Kadomtsev-Petviashvili equation (GVCKP). We show that the application of the truncated Painleve expansion and symbolic computation leads to a new class of analytical solutions to a wide-ranging type of GVCKPs, and an auto-Backlund transformation. The examples presented are solutions to the cylindrical Kadomtsev-Petviashvili equation and the nearly concentric Korteweg-de Vries equation.

Bo Tian | Yi-Tian Gao | B. Tian | Yi-Tian Gao

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