# Catherine Sulem

#86,135

Most Influential Person Now

Canadian mathematician

## Catherine Sulem's AcademicInfluence.com Rankings

Catherine Sulemmathematics Degrees

Mathematics

#4601

World Rank

#6518

Historical Rank

Applied Mathematics

#420

World Rank

#450

Historical Rank

Measure Theory

#3036

World Rank

#3605

Historical Rank

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Mathematics

## Why Is Catherine Sulem Influential?

(Suggest an Edit or Addition)According to Wikipedia, Catherine Sulem is a mathematician and violinist at the University of Toronto. She has completed a monograph "Nonlinear Schrodinger Equation: Self-Focusing Instability and Wave Collapse" together with her brother Pierre-Louis Sulem, which appears in applied Mathematical Sciences.

## Catherine Sulem's Published Works

### Published Works

- The nonlinear Schrödinger equation : self-focusing and wave collapse (2004) (1533)
- Numerical simulation of gravity waves (1993) (573)
- Nonlinear Schrödinger Equation (2020) (226)
- On the continuous limit for a system of classical spins (1986) (207)
- Tracing complex singularities with spectral methods (1983) (201)
- Nonlinear modulation of gravity waves: a rigorous approach (1992) (184)
- Solitary water wave interactions (2006) (159)
- Finite time analyticity for the two and three dimensional Kelvin-Helmholtz instability (1981) (151)
- The modulational regime of three-dimensional water waves and the Davey-Stewartson system (1997) (140)
- A classification of well‐posed kinetic layer problems (1988) (137)
- Hamiltonian long–wave expansions for water waves over a rough bottom (2005) (127)
- On asymptotic stability of solitary waves for nonlinear Schrödinger equations (2003) (116)
- Local structure of the self-focusing singularity of the nonlinear Schro¨dinger equation (1988) (105)
- On a boundary layer problem for the nonlinear Boltzmann equation (1988) (94)
- Interaction of lumps with a line soliton for the DSII equation (2001) (90)
- Focusing and multi-focusing solutions of the nonlinear Schro¨dinger equation (1988) (83)
- Focusing and multi-focusing solutions of the nonlinear Schro¨dinger equation (1988) (83)
- Soliton Resolution for the Derivative Nonlinear Schrödinger Equation (2017) (78)
- Longtime dynamics of a conductive fluid in the presence of a strong magnetic field (1988) (72)
- Numerical simulation of singular solutions to the two‐dimensional cubic schrödinger equation (1984) (70)
- Stability of isotropic singularities for the nonlinear schro¨dinger equation (1991) (66)
- Long-Time Behavior of Solutions to the Derivative Nonlinear Schr\"{o}dinger Equation for Soliton-Free Initial Data (2016) (66)
- The focusing singularity of the Davey-Stewartson equations for gravity-capillary surface waves (1994) (65)
- Coupling between internal and surface waves (2011) (55)
- Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering (2015) (53)
- A Hamiltonian approach to nonlinear modulation of surface water waves (2010) (52)
- The Focusing Singularity of the Nonlinear Schrödinger Equation (1987) (52)
- Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation (2012) (49)
- Three-dimensional numerical simulation of convection in low-Prandtl-number fluids (1987) (49)
- On the one-dimensional cubic nonlinear Schrodinger equation below L^2 (2010) (41)
- Singular solutions of the Zakharov equations for Langmuir turbulence (1991) (40)
- The surface signature of internal waves (2012) (36)
- Water waves over a random bottom (2009) (33)
- Long wave expansions for water waves over random topography (2007) (28)
- Ground state mass concentration in the L^2-critical nonlinear Schrodinger equation below H^1 (2004) (27)
- Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities (2018) (27)
- Mapping properties of normal forms transformations for water waves (2016) (26)
- Finite time analyticity for the two- and three-dimensional Rayleigh-Taylor instability (1985) (26)
- Linear versus nonlinear dissipation for critical NLS equation (2005) (26)
- Focusing Singularity in a Derivative Nonlinear Schr\"odinger Equation (2013) (25)
- On the long time behaviour of a generalized KdV equation (1986) (25)
- Eigenfunctions and Eigenvalues for a Scalar Riemann–Hilbert Problem Associated to Inverse Scattering (2000) (22)
- Hamiltonian higher-order nonlinear Schrödinger equations for broader-banded waves on deep water (2012) (22)
- Arrest of Langmuir wave collapse by quantum effects. (2009) (21)
- Integrable Systems and Applications (1989) (20)
- Global well-posedness for the derivative non-linear Schrödinger equation (2018) (18)
- Focusing nonlinear Schro¨dinger equation and wave-packet collapse (1997) (18)
- Topics in Kinetic Theory (2005) (17)
- Water waves over a rough bottom in the shallow water regime (2011) (17)
- Bifurcations of new eigenvalues for the Benjamin–Ono equation (1998) (16)
- Spectral decomposition for the Dirac system associated to the DSII equation (1999) (16)
- Local Structure of Singular Profiles for a Derivative Nonlinear Schrödinger Equation (2016) (15)
- Normal Form Transformations for Capillary-Gravity Water Waves (2015) (14)
- Hamiltonian Partial Differential Equations and Applications (2015) (14)
- Normal Form Transformations and Dysthe’s Equation for the Nonlinear Modulation of Deep-Water Gravity Waves (2020) (12)
- The derivative nonlinear Schrödinger equation: Global well-posedness and soliton resolution (2019) (11)
- Generation of acoustic fronts by focusing wave packets (1996) (10)
- The well-posedness of two-dimensional ideal flow (1983) (10)
- Numerical simulations of the energy- supercritical Nonlinear Schr\ (2009) (10)
- Global Well-posedness and soliton resolution for the Derivative Nonlinear Schr\"{o}dinger equation (2017) (9)
- Internal waves coupled to surface gravity waves in three dimensions (2015) (7)
- Resonant Tunneling of Fast Solitons through Large Potential Barriers (2011) (7)
- Partial differential equations and their applications (1997) (7)
- Bloch Theory and Spectral Gaps for Linearized Water Waves (2017) (7)
- Numerical simulation of resonant tunneling of fast solitons for the nonlinear Schrödinger equation (2010) (7)
- Asymptotic approximations for a new eigenvalue in linear problems without a threshold (2000) (7)
- Linear adiabatic dynamics generated by operators with continuous spectrum. I (2008) (5)
- Asymptotics of surface waves over random bathymetry (2009) (5)
- Singular solutions of the cubic Schrödinger equation (1989) (4)
- Filamentation of dispersive Alfven waves in density channels: Hall magnetohydrodynamics description (2008) (4)
- Global Well-Posesedness for the Derivative Nonlinear Schrodinger Equation (2017) (4)
- Wave collapse in dispersive magnetohydrodynamics: direct simulations and envelope modeling (2003) (4)
- Blowing Up Solutions to the Zakharov System for Langmuir Waves (2019) (4)
- Numerical simulation of blow-up solutions of the vector nonlinear Schrödinger equation. (2002) (4)
- Lower bound for the rate of blow-up of singular solutions of the Zakharov system in $\R^3$ (2013) (3)
- Embedded solitons of the DSII equation (2001) (3)
- Stochastic Acceleration of Solitons for the Nonlinear Schrödinger Equation (2008) (3)
- Spatial Form of a Hamiltonian Dysthe Equation for Deep-Water Gravity Waves (2021) (3)
- Dynamic rescaling for tracking point singularities: application to Nonlinear Schrödinger equation and related problems (1993) (2)
- The Water Wave Problem and Hamiltonian Transformation Theory (2021) (2)
- Hamiltonian Formulation For Water Waves Over a Variable Bottom: Asymptotic Models And Numerical Simulations (2009) (2)
- Nonlinear Dynamics and Renormalization Group (2001) (1)
- The focusing nonlinear Schro¨dinger equation: effect of the coupling to a low frequency field (1997) (1)
- The Davey-Stewartson System (2004) (1)
- Hamiltonian Dysthe Equation for Three-Dimensional Deep-Water Gravity Waves (2022) (1)
- Time-dependent rayleigh-benard convection in low prandtl number fluids (1985) (1)
- FLA ON ASYMPTOTIC STABILITY OF SOLITARY WAVES FOR NONLINEAR SCHRÖDINGER EQUATIONS STABILITÉ ASYMPTOTIQUE DES ONDES SOLITAIRES POUR LES ÉQUATIONS DE SCHRÖDINGER NONLINÉAIRES (2003) (1)
- Perturbations of Focusing NLS (2004) (0)
- Soliton Resolution for the Derivative Nonlinear Schrödinger Equation (2018) (0)
- Some results on smoothness for Langmuir turbulence equations (1979) (0)
- Hamiltonian Formulation f or Water Waves o ver a Variable Bottom : Asymptotic Models and Numerical Simulations (2009) (0)
- Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation (2013) (0)
- Hamiltonian Dysthe equation for 3D deep-water gravity waves (2021) (0)
- Special Issue Dedicated to Walter Craig (2021) (0)
- Normal Form Transformations and Dysthe’s Equation for the Nonlinear Modulation of Deep-Water Gravity Waves (2020) (0)
- A Hamiltonian Dysthe equation for deep-water gravity waves with constant vorticity (2022) (0)
- The Scalar Model (2004) (0)
- Laminarization by a Strong Magnetic Field (1987) (0)
- Standing Wave Solutions (2004) (0)
- Mapping properties of normal forms transformations for water waves (2016) (0)
- Integrable systems and applications : proceedings of a workshop, held at Oléron, France, June 20-24, 1988 (1989) (0)
- Progressive Waves in Plasmas (2004) (0)
- Regularizing effect of a strong magnetic field (1988) (0)
- Hamiltonian Modulation Theory for Water Waves on Arbitrary Depth (2011) (0)
- Remembrances of Walter Craig (2020) (0)
- Existence and Long-Time Behavior (2004) (0)
- Special Issue Dedicated to Walter Craig (2021) (0)
- Mean Field Generation (2004) (0)
- Spherical motion of an ideal incompressible fluid (1979) (0)
- Gravity-Capillary Surface Waves (2004) (0)
- The Physical Context (2004) (0)

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## What Schools Are Affiliated With Catherine Sulem?

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