Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves

Anne De Bouard; Jean Claude Saut

doi:10.1137/S0036141096297662

Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves

Anne De Bouard, Jean Claude Saut

Université Paris-Saclay

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

Abstract

We prove that the solitary waves of the generalized Kadomtsev-Petviashvili equations, when they exist, are cylindrical with respect to the transverse variables and decay with an optimal algebraic rate.

Original language	English
Pages (from-to)	1064-1085
Number of pages	22
Journal	SIAM Journal on Mathematical Analysis
Volume	28
Issue number	5
DOIs	https://doi.org/10.1137/S0036141096297662
Publication status	Published - 1 Jan 1997
Externally published	Yes

Keywords

Decay
Kadomtsev-Petviashvili equations
Solitary waves
Symmetry

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10.1137/S0036141096297662

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title = "Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves",

abstract = "We prove that the solitary waves of the generalized Kadomtsev-Petviashvili equations, when they exist, are cylindrical with respect to the transverse variables and decay with an optimal algebraic rate.",

keywords = "Decay, Kadomtsev-Petviashvili equations, Solitary waves, Symmetry",

author = "\{De Bouard\}, Anne and Saut, \{Jean Claude\}",

year = "1997",

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AU - Saut, Jean Claude

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N2 - We prove that the solitary waves of the generalized Kadomtsev-Petviashvili equations, when they exist, are cylindrical with respect to the transverse variables and decay with an optimal algebraic rate.

AB - We prove that the solitary waves of the generalized Kadomtsev-Petviashvili equations, when they exist, are cylindrical with respect to the transverse variables and decay with an optimal algebraic rate.

KW - Decay

KW - Kadomtsev-Petviashvili equations

KW - Solitary waves

KW - Symmetry

U2 - 10.1137/S0036141096297662

DO - 10.1137/S0036141096297662

M3 - Article

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SN - 0036-1410

VL - 28

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

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ER -

Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves

Abstract

Keywords

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