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Wen-Xiu Ma
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Summary: (English Summary:)
The research investigates the integrability characteristics of the (2+1)-dimensional Kadomtsev-Petviashvili type equations, finding that the failure to pass the Painleve test is due to a non-vanishing compatibility condition at the highest resonance level. Soliton solutions and the N-soliton solution formula were derived and validated using the Hirota condition. The study also explores the criteria for the linear superposition principle and methods for generating resonant solutions, as well as deriving Backlund transformation, Lax pair, and infinitely many conservation laws through the Hirota bilinear method and Bell polynomial approach.
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EUROPEAN JOURNAL OF APPLIED MATHEMATICS
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