2+1-维变系数广义Kadomtsev-Petviashvili方程的相似约化

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基金项目: 国家自然科学基金资助项目(19572022);国家攀登计划基金

Similarity Reductions for 2+1-Dimensional Variable Coefficient Generalized Kadomtsev-Petviashvili Equation

Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, P R China

摘要: 借助于MATHEMATICA软件,将直接约化法推广并应用到2+1-维变系数广义Kadomtsev-Petviashvili(VCGKP)方程,获得了VCGKP方程的若干相似约化,其中包括PainleveⅠ型、PainleveⅡ型和PainleveⅣ型的约化.
- 变系数广义Kadomtsev-Petviashvili方程 /
- 直接约化法 /
- 相似约化
Abstract: With the aid of MATHEMATICA,the direct reduction method was extended and applied in 2+1-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation(VCGKPE).As a result,several kinds of similarity reductions for VCGKPE are obtained which contain PainleveⅠ,Painleve Ⅱ and PainleveⅣ reductions.
- variable coefficient generalized Kadomtsev-Petviashvili equation /
- direct reduction method /
- similarity reduction

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