Large Time Asymptotics for the Kadomtsev–Petviashvili Equation

Nakao Hayashi; Pavel I. Naumkin

doi:10.1007/s00220-014-2159-x

Large Time Asymptotics for the Kadomtsev–Petviashvili Equation

Nakao Hayashi, Pavel I. Naumkin

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We study the large time asymptotic behavior of solutions to the Kadomtsev–Petviashvili equations(Formula presented.) where σ = ±1 and (Formula presented.). We prove that the large time asymptotics of the derivative u_x of the solution has a quasilinear character.

Original language	English
Pages (from-to)	505-533
Number of pages	29
Journal	Communications in Mathematical Physics
Volume	332
Issue number	2
DOIs	https://doi.org/10.1007/s00220-014-2159-x
Publication status	Published - 2014 Dec 1
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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abstract = "We study the large time asymptotic behavior of solutions to the Kadomtsev–Petviashvili equations(Formula presented.) where σ = ±1 and (Formula presented.). We prove that the large time asymptotics of the derivative ux of the solution has a quasilinear character.",

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Large Time Asymptotics for the Kadomtsev–Petviashvili Equation

Abstract

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