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Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

1st ed. 2019., 2019

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The surface signature of internal waves

Journal of fluid mechanics, 2012-11, Vol.710, p.277-303

2012

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Hamiltonian Partial Differential Equations and Applications

1st ed. 2015, 2015

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Solitary water wave interactions

Physics of fluids (1994), 2006-05, Vol.18 (5), p.057106-057106-25

2006

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Water waves over a random bottom

Journal of fluid mechanics, 2009-12, Vol.640, p.79-107

2009

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The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse

1, 1999

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Numerical Simulation of Gravity Waves

Journal of computational physics, 1993-09, Vol.108 (1), p.73,82-79,83

1993

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Linear versus nonlinear dissipation for critical NLS equation

Physica. D, 2005-04, Vol.203 (3), p.167-184

2005

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Interaction of lumps with a line soliton for the DSII equation

Physica. D, 2001-05, Vol.152, p.189-198

2001

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NUMERICAL SIMULATIONS OF THE ENERGY-SUPERCRITICAL NONLINEAR SCHRÖDINGER EQUATION

Journal of hyperbolic differential equations, 2010-06, Vol.7 (2), p.279-296

2010

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Normal form transformations for modulated deep-water gravity waves

Revista de la Unión Matemática Argentina (1968), 2023-02, p.281-308

2023

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Arrest of Langmuir wave collapse by quantum effects

Physical review. E, Statistical, nonlinear, and soft matter physics, 2009-11, Vol.80 (5 Pt 2), p.056405-056405, Article 056405

2009

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Ground state mass concentration in the $L^2$-critical nonlinear Schrödinger equation below $H^1

Mathematical research letters, 2005-03, Vol.12 (3), p.357-375

2005

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On asymptotic stability of solitary waves for nonlinear Schrödinger equations

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2003-06, Vol.20 (3), p.419-475

2003

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Wave collapse in dispersive magnetohydrodynamics: direct simulations and envelope modeling

Physica. D, 2003-10, Vol.184 (1), p.237-258

2003

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Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE

Nonlinear Dispersive Partial Differential Equations and Inverse Scattering, p.95-160

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On the continuous limit for a system of classical spins

Communications in mathematical physics, 1986-01, Vol.107 (3), p.431-454

1986

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Nonlinear modulation of gravity waves: a rigorous approach

Nonlinearity, 1992-03, Vol.5 (2), p.497-522

1992

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Hamiltonian long–wave expansions for water waves over a rough bottom

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2005-03, Vol.461 (2055), p.839-873

2005

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The focusing singularity of the Davey-Stewartson equations for gravity-capillary surface waves

Physica. D, 1994-04, Vol.72 (1), p.61-86

1994

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Focusing and multi-focusing solutions of the nonlinear Schrödinger equation

Physica. D, 1988-05, Vol.31 (1), p.78-102

1988

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Filamentation of dispersive Alfvén waves in density channels: Hall magnetohydrodynamics description

Physics of plasmas, 2008-06, Vol.15 (6), p.062302-062302-12

2008

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Local structure of the self-focusing singularity of the nonlinear Schrödinger equation

Physica. D, 1988-09, Vol.32 (2), p.210-226

1988

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On the Spectral and Orbital Stability of Spatially Periodic Stationary Solutions of Generalized Korteweg-de Vries Equations

Hamiltonian Partial Differential Equations and Applications, 2015, Vol.75, p.285-322

2015

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Focusing singularity of the cubic Schrödinger equation

Physical review. A, General physics, 1986-08, Vol.34 (2), p.1200-1210

1986

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Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

The surface signature of internal waves

Hamiltonian Partial Differential Equations and Applications

Solitary water wave interactions

Water waves over a random bottom

The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse

Numerical Simulation of Gravity Waves

Linear versus nonlinear dissipation for critical NLS equation

Interaction of lumps with a line soliton for the DSII equation

NUMERICAL SIMULATIONS OF THE ENERGY-SUPERCRITICAL NONLINEAR SCHRÖDINGER EQUATION

Normal form transformations for modulated deep-water gravity waves

Arrest of Langmuir wave collapse by quantum effects

Ground state mass concentration in the $L^2$-critical nonlinear Schrödinger equation below $H^1

On asymptotic stability of solitary waves for nonlinear Schrödinger equations

Wave collapse in dispersive magnetohydrodynamics: direct simulations and envelope modeling

Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE

On the continuous limit for a system of classical spins

Nonlinear modulation of gravity waves: a rigorous approach

Hamiltonian long–wave expansions for water waves over a rough bottom

The focusing singularity of the Davey-Stewartson equations for gravity-capillary surface waves

Focusing and multi-focusing solutions of the nonlinear Schrödinger equation

Filamentation of dispersive Alfvén waves in density channels: Hall magnetohydrodynamics description

Local structure of the self-focusing singularity of the nonlinear Schrödinger equation

On the Spectral and Orbital Stability of Spatially Periodic Stationary Solutions of Generalized Korteweg-de Vries Equations

Focusing singularity of the cubic Schrödinger equation

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