Painlevé Analysis, Soliton Collision and Bäcklund Transformation for the (3+1)-Dimensional Variable-Coefficient Kadomtsev—Petviashvili Equation in Fluids or Plasmas

DOI10.1088/0253-6102/62/1/05zbMath1294.37029OpenAlexW2249332047MaRDI QIDQ2877398

Xi-Yang Xie, Ya Sun, Bo Tian, Yan Jiang, Hui Zhong, Yun-Po Wang

Publication date: 22 August 2014

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

Full work available at URL: https://doi.org/10.1088/0253-6102/62/1/05

zbMATH Keywords

Bell polynomials Bäcklund transformation soliton solution Hirota method \((3+1)\)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili equation in fluids or plasmas

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (4)

The dynamic behaviors between multi-soliton of the generalized \((3+1)\)-dimensional variable coefficients Kadomtsev-Petviashvili equation ⋮ Various exact analytical solutions of a variable-coefficient Kadomtsev-Petviashvili equation ⋮ Gramian solutions and soliton interactions for a generalized (3 + 1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in a plasma or fluid ⋮ Solitons and rouge waves for a generalized \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics

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