Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation

DOI10.1090/S0002-9947-2012-05383-9zbMath1291.35276MaRDI QIDQ2839938

Yue Liu, Pingzheng Zhang, Robin Ming Chen

Publication date: 17 July 2013

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

zbMATH Keywords

rotationCauchy problemsolitary wavewell-posednessKadomtsev-Petviashvili

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (5)

The Cauchy problem for the rotation-modified Kadomtsev-Petviashvili type equation ⋮ Analysis of 2 + 1 diffusive–dispersive PDE arising in river braiding ⋮ Stability of Solitary Waves of the Kadomtsev--Petviashvili Equation with a Weak Rotation ⋮ Symmetry of the KP-type solitary waves ⋮ Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation
• Global well-posedness of the KP-I initial-value problem in the energy space
• Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]
• On the Cauchy problem for the Kadomtsev-Petviashvili equation
• On the existence of stationary solitary waves in a rotating fluid
• Solitary waves of generalized Kadomtsev-Petviashvili equations
• Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation
• Correction: ``Global well-posedness for the KP-I equation
• Global well-posedness for the Kadomtsev-Petviashvili II equation
• On the local and global well-posedness theory for the KP-I equation
• Global well-posedness for the KP-I equation
• Uniform decay estimates for a class of oscillatory integrals and applications
• LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES
• The Rotation-Modified Kadomtsev-Petviashvili Equation: An Analytical and Numerical Study
• Solitary waves of the rotation-modified Kadomtsev–Petviashvili equation
• The Cauchy problem and the stability of solitary waves of a hyperelastic dispersive equation
• Evolution Equations for Weakly Nonlinear, Long Internal Waves in a Rotating Fluid
• On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations
• On equations of KP-type
• Symmetries and Decay of the Generalized Kadomtsev--Petviashvili Solitary Waves
• Remarks on the Mass Constraint for KP-Type Equations
• Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
• Global low-regularity solutions for Kadomtsev-Petviashvili equation
• A restriction theorem for the Fourier transform

This page was built for publication: Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation