Dispersive shock wave, generalized Laguerre polynomials, and asymptotic solitons of the focusing nonlinear Schrödinger equation (Q5218777)

scientific article; zbMATH DE number 7177373

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English	Dispersive shock wave, generalized Laguerre polynomials, and asymptotic solitons of the focusing nonlinear Schrödinger equation	scientific article; zbMATH DE number 7177373

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instance of

scholarly article

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title

Dispersive shock wave, generalized Laguerre polynomials, and asymptotic solitons of the focusing nonlinear Schrödinger equation (English)

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published in

Journal of Mathematical Physics

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publication date

5 March 2020

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full work available at URL

https://arxiv.org/abs/1905.02493

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author

Vladimir P. Kotlyarov

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Alexander A. Minakov

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MaRDI profile type

MaRDI publication profile

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cites work

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Long‐Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions at Infinity and Asymptotic Stage of Modulational Instability

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THE FOCUSING NONLINEAR SCHRÖDINGER EQUATION ON THE QUARTER PLANE WITH TIME-PERIODIC BOUNDARY CONDITION: A RIEMANN–HILBERT APPROACH

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Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line

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Decaying Long-Time Asymptotics for the Focusing NLS Equation with Periodic Boundary Condition

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Focusing NLS Equation: Long-Time Dynamics of Step-Like Initial Data

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Long‐time asymptotics of the nonlinear Schrödinger equation shock problem

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Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

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ASYMPTOTICS OF THE SOLUTION OF THE CAUCHY PROBLEM FOR THE KORTEWEG-de VRIES EQUATION WITH INITIAL DATA OF STEP TYPE

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Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation

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Long-time behavior of the solution to the mKdV equation with step-like initial data

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Direct nonlinear Fourier transform algorithms for the computation of solitonic spectra in focusing nonlinear Schrödinger equation

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Identifiers

zbMATH Open document ID

1496.35365

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DOI

10.1063/1.5096896

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5218777