Painlevé analysis and reducibility to the canonical form for the generalized Kadomtsev–Petviashvili equation
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Publication:3361301
DOI10.1063/1.529095zbMath0734.35124OpenAlexW2020432550MaRDI QIDQ3361301
Tommaso Brugarino, Antonio Maria Greco
Publication date: 1991
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529095
Related Items (8)
Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra ⋮ Pfaffianization of the generalized variable-coefficient Kadomtsev-Petviashvili equation ⋮ On an analytical method and soliton-typed solutions for certain variable-coefficient partial differential equations in nonlinear mechanics ⋮ Line soliton interactions of a nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation ⋮ Mock-integrability and stable solitary vortices ⋮ The unified Kadomtsev–Petviashvili equation for interfacial waves ⋮ Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations ⋮ Painlevé Classification of All Semi linear Partial Differential Equations of the Second Order. I. Hyperbolic Equations in Two Independent Variables
Cites Work
- Modified Kadomtsev-Petviashvili equation for ion-acoustic waves
- Solitons in Shallow Seas of Variable Depth and in Marine Straits
- The Painlevé property for partial differential equations
- Painlevé property, auto-Bäcklund transformation, Lax pairs, and reduction to the standard form for the Korteweg–De Vries equation with nonuniformities
- Equivalence transformations for nonlinear evolution equations
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
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