Large time asymptotics for the Kadomtsev-Petviashvili equation

DOI10.1007/s00220-014-2159-xzbMath1318.35098OpenAlexW2011051714MaRDI QIDQ466029

Nakao Hayashi, Pavel I. Naumkin

Publication date: 24 October 2014

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

Full work available at URL: https://doi.org/10.1007/s00220-014-2159-x

zbMATH Keywords

asymptotic behaviorCauchy problemlarge timeKadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (3)

The Cauchy problem for the rotation-modified Kadomtsev-Petviashvili type equation ⋮ The Cauchy problem for a two-dimensional generalized Kadomtsev–Petviashvili-I equation in anisotropic Sobolev spaces ⋮ Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev-Petviashvili-Burgers equation in 2D

Cites Work

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• Asymptotics for large time of global solutions to the generalized Kadomtsev-Petviashvili equation
• On the Cauchy problem for the Kadomtsev-Petviashvili equation
• Solitary waves of generalized Kadomtsev-Petviashvili equations
• Almost Global Existence of Solutions to the Kadomtsev-Petviashvili Equations
• Large time behavior of solutions for the generalized Kadomtsev-Petviashvili equation
• On equations of KP-type

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