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

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

Résumé

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.

langue originale	Anglais
Pages (de - à)	1064-1085
Nombre de pages	22
journal	SIAM Journal on Mathematical Analysis
Volume	28
Numéro de publication	5
Les DOIs	https://doi.org/10.1137/S0036141096297662
état	Publié - 1 janv. 1997
Modification externe	Oui

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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",

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year = "1997",

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T1 - Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves

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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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Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves

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