Painlevé Analysis and Determinant Solutions of a (3+1)-Dimensional Variable-Coefficient Kadomtsev–Petviashvili Equation in Wronskian and Grammian Form

DOI10.1088/0253-6102/51/6/18zbMath1187.37101OpenAlexW2010160840MaRDI QIDQ3393765

Yi-Tian Ga, Bo Tian, Xiang-Hua Meng, Zhen-Zhi Yao, Qian Feng

Publication date: 27 August 2009

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/51/6/18

zbMATH Keywords

symbolic computationbilinear formPainlevé analysisWronskian determinantGrammian determinant\((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (4)

Nonautonomous solitons and Wronskian solutions for the \((3+1)\)-dimensional variable-coefficient forced Kadomtsev-Petviashvili equation in the fluid or plasma ⋮ A new simplified bilinear method for the \(N\)-soliton solutions for a generalized FmKdV equation with time-dependent variable coefficients ⋮ Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids ⋮ On the high-energy solitary wave solutions for a generalized KP equation in a bounded domain

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