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

CNRS

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

157 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	211-236
Nombre de pages	26
journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	14
Numéro de publication	2
Les DOIs	https://doi.org/10.1016/S0294-1449(97)80145-X
état	Publié - 1 janv. 1997

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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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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

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

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

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Solitary waves of generalized Kadomtsev-Petviashvili equations

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