The unified Kadomtsev–Petviashvili equation for interfacial waves
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Publication:4860882
DOI10.1017/S0022112095001182zbMath0854.76023OpenAlexW2150719084MaRDI QIDQ4860882
Publication date: 19 January 1997
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112095001182
inverse scattering transformCauchy problemPainlevé testintegral invariantsPetrov-Galerkin finite element methodcomplete integrability conditionstwo-layered fluid system
General theory of rotating fluids (76U05) Finite element methods applied to problems in fluid mechanics (76M10) Internal waves for incompressible inviscid fluids (76B55)
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Cites Work
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- Shallow water waves over an uneven bottom and an inhomogeneous KP equation
- On the Derivation of the Modified Kadomtsev-Petviashvili Equation
- The Rotation-Modified Kadomtsev-Petviashvili Equation: An Analytical and Numerical Study
- Solitons in Shallow Seas of Variable Depth and in Marine Straits
- Painlevé analysis and reducibility to the canonical form for the generalized Kadomtsev–Petviashvili equation
- The Painlevé property for partial differential equations
- Evolution Equations for Weakly Nonlinear, Long Internal Waves in a Rotating Fluid
- Integrable Nonlinear Equations for Water Waves in Straits of Varying Depth and Width
- Solitary internal waves in a rotating channel: A numerical study
