Symmetry of the KP-type solitary waves

DOI10.1090/proc/14617zbMath1428.35446OpenAlexW2923476433WikidataQ128133695 ScholiaQ128133695MaRDI QIDQ5233965

Steve Levandosky, Amin Esfahani

Publication date: 9 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14617

zbMATH Keywords

symmetrysolitary wavesKadomtsev-Petviashvili-type equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08) Axially symmetric solutions to PDEs (35B07)

Cites Work

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• Solitary waves of generalized Kadomtsev-Petviashvili equations
• Remark on some conformally invariant integral equations: the method of moving spheres
• Stability of solitary waves and weak rotation limit for the Ostrovsky equation
• Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation
• Decay properties of the traveling waves of the rotation-generalized Kadomtsev–Petviashvili equation
• Solitary waves of the rotation-modified Kadomtsev–Petviashvili equation
• Evolution Equations for Weakly Nonlinear, Long Internal Waves in a Rotating Fluid
• Symmetries and Decay of the Generalized Kadomtsev--Petviashvili Solitary Waves
• Stability of Solitary Waves of the Kadomtsev--Petviashvili Equation with a Weak Rotation
• Classification of solutions for an integral equation

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