Solitary waves of generalized Kadomtsev-Petviashvili equations

Anne De Bouard; Jean Claude Saut

doi:10.1016/S0294-1449(97)80145-X

Solitary waves of generalized Kadomtsev-Petviashvili equations

Anne De Bouard
, Jean Claude Saut

Centre national de la recherche scientifique

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

Abstract

We classify the existence and non-existence cases for localized solitary waves of generalized Kadomtsev-Petviashvili equations according to the sign of the transverse dispersion coefficients and to the nonlinearity. We also prove regularity properties of the solitary waves.

Original language	English
Pages (from-to)	211-236
Number of pages	26
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	14
Issue number	2
DOIs	https://doi.org/10.1016/S0294-1449(97)80145-X
Publication status	Published - 1 Jan 1997

Keywords

Kadomtsev-Petviashvili equations
Solitary waves

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10.1016/S0294-1449(97)80145-X

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title = "Solitary waves of generalized Kadomtsev-Petviashvili equations",

abstract = "We classify the existence and non-existence cases for localized solitary waves of generalized Kadomtsev-Petviashvili equations according to the sign of the transverse dispersion coefficients and to the nonlinearity. We also prove regularity properties of the solitary waves.",

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

year = "1997",

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doi = "10.1016/S0294-1449(97)80145-X",

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T1 - Solitary waves of generalized Kadomtsev-Petviashvili equations

AU - De Bouard, Anne

AU - Saut, Jean Claude

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N2 - We classify the existence and non-existence cases for localized solitary waves of generalized Kadomtsev-Petviashvili equations according to the sign of the transverse dispersion coefficients and to the nonlinearity. We also prove regularity properties of the solitary waves.

AB - We classify the existence and non-existence cases for localized solitary waves of generalized Kadomtsev-Petviashvili equations according to the sign of the transverse dispersion coefficients and to the nonlinearity. We also prove regularity properties of the solitary waves.

KW - Kadomtsev-Petviashvili equations

KW - Solitary waves

U2 - 10.1016/S0294-1449(97)80145-X

DO - 10.1016/S0294-1449(97)80145-X

M3 - Article

AN - SCOPUS:0000392499

SN - 0294-1449

VL - 14

SP - 211

EP - 236

JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

IS - 2

ER -

Solitary waves of generalized Kadomtsev-Petviashvili equations

Abstract

Keywords

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