The scattering transform for the Benjamin–Ono equation in the small-dispersion limit

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2015.07.012 ◽

2016 ◽

Vol 333 ◽

pp. 185-199 ◽

Author(s):

Peter D. Miller ◽

Alfredo N. Wetzel

Keyword(s):

Scattering Transform ◽

Small Dispersion ◽

Dispersion Limit

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The Small Dispersion Limit for a Nonlinear Semidiscrete System of Equations

Studies in Applied Mathematics ◽

10.1111/1467-9590.00060 ◽

1997 ◽

Vol 99 (3) ◽

pp. 205-254 ◽

Author(s):

Cristina Vilma Turner ◽

Rodolfo Ruben Rosales

Keyword(s):

System Of Equations ◽

Small Dispersion ◽

Dispersion Limit

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The Small Dispersion Limit of the Korteweg-De Vries Equation

Mathematical Sciences Research Institute Publications - Wave Motion: Theory, Modelling, and Computation ◽

10.1007/978-1-4613-9583-6_12 ◽

1987 ◽

pp. 295-336

Author(s):

Stephanos Venakides

Keyword(s):

Vries Equation ◽

De Vries ◽

Small Dispersion ◽

Dispersion Limit

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A small dispersion limit to the Camassa–Holm equation: A numerical study

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2009.06.012 ◽

2009 ◽

Vol 80 (1) ◽

pp. 120-130 ◽

Author(s):

Jennifer Gorsky ◽

David P. Nicholls

Keyword(s):

Numerical Study ◽

Holm Equation ◽

Small Dispersion ◽

Dispersion Limit

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Painlevé II asymptotics near the leading edge of the oscillatory zone for the Korteweg-de Vries equation in the small-dispersion limit

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.20277 ◽

2009 ◽

Vol 63 (2) ◽

pp. 203-232 ◽

Author(s):

Tom Claeys ◽

Tamara Grava

Keyword(s):

Vries Equation ◽

Leading Edge ◽

De Vries ◽

Painlevé Ii ◽

Oscillatory Zone ◽

Small Dispersion ◽

Dispersion Limit

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Solitonic Asymptotics for the Korteweg–de Vries Equation in the Small Dispersion Limit

SIAM Journal on Mathematical Analysis ◽

10.1137/090779103 ◽

2010 ◽

Vol 42 (5) ◽

pp. 2132-2154 ◽

Author(s):

Tom Claeys ◽

Tamara Grava

Keyword(s):

Vries Equation ◽

De Vries ◽

Small Dispersion ◽

Dispersion Limit

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Riemann-Hilbert problem for the small dispersion limit of the KdV equation and linear overdetermined systems of Euler-Poisson-Darboux type

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3013 ◽

2002 ◽

Vol 55 (4) ◽

pp. 395-430 ◽

Author(s):

Tamara Grava

Keyword(s):

Hilbert Problem ◽

Kdv Equation ◽

Overdetermined Systems ◽

The Kdv Equation ◽

Small Dispersion ◽

Riemann Hilbert Problem ◽

Dispersion Limit

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The small dispersion limit of the Korteweg-de Vries equation. I

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160360302 ◽

1983 ◽

Vol 36 (3) ◽

pp. 253-290 ◽

Author(s):

Peter D. Lax ◽

C. David Levermore

Keyword(s):

Vries Equation ◽

De Vries ◽

Small Dispersion ◽

Dispersion Limit

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Small dispersion limit of the Korteweg–de Vries equation with periodic initial conditions and analytical description of the Zabusky–Kruskal experiment

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2016.03.003 ◽

2016 ◽

Vol 333 ◽

pp. 137-147 ◽

Author(s):

Guo Deng ◽

Gino Biondini ◽

Stefano Trillo

Keyword(s):

Vries Equation ◽

Initial Conditions ◽

Analytical Description ◽

De Vries ◽

Small Dispersion ◽

Dispersion Limit

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Pole dynamics and oscillations for the complex Burgers equation in the small-dispersion limit

Nonlinearity ◽

10.1088/0951-7715/9/6/016 ◽

1996 ◽

Vol 9 (6) ◽

pp. 1671-1702 ◽

Author(s):

D Senouf ◽

R Caflisch ◽

N Ercolani

Keyword(s):

Burgers Equation ◽

Complex Burgers Equation ◽

Small Dispersion ◽

Dispersion Limit

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Universality of the Break-up Profile for the KdV Equation in the Small Dispersion Limit Using the Riemann-Hilbert Approach

Communications in Mathematical Physics ◽

10.1007/s00220-008-0680-5 ◽

2008 ◽

Vol 286 (3) ◽

pp. 979-1009 ◽

Author(s):

T. Claeys ◽

T. Grava

Keyword(s):

Kdv Equation ◽

The Kdv Equation ◽

Break Up ◽

Small Dispersion ◽

Dispersion Limit

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