Four (2 + 1)-dimensional integrable extensions of the Kadomtsev–Petviashvili equation
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摘要
In this work, four (2 + 1)-dimensional nonlinear extensions of the Kadomtsev–Petviashvili (KP) equation are developed. The complete integrability of these models are investigated. Multiple-soliton solutions and multiple singular soliton solutions are determined to demonstrate the compatibility of these models. The resonance phenomenon does not exist for any of the derived models.
论文关键词：Nonlinear (2 + 1)-dimensional KP extensions,Hirota bilinear method,Multiple-soliton solutions,Multiple singular soliton solutions,Resonance
论文评审过程：Available online 6 November 2009.
论文官网地址：https://doi.org/10.1016/j.amc.2009.11.001
