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

DOI10.1063/1.5096896zbMath1496.35365arXiv1905.02493OpenAlexW2993024210MaRDI QIDQ5218777

Vladimir P. Kotlyarov, Alexander A. Minakov

Publication date: 5 March 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02493

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Other special orthogonal polynomials and functions (33C47) Soliton solutions (35C08) Special quantum systems, such as solvable systems (81Q80)

Related Items (7)

On the asymptotic stability of \(N\)-soliton solution for the short pulse equation with weighted Sobolev initial data ⋮ Inverse scattering problem for the matrix modified Korteweg-de Vries equation with finite density type initial data ⋮ Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier ⋮ Propagation of electric field generated by periodic pumping in a stable medium of two-level atoms of the Maxwell–Bloch model ⋮ The complete classification of solutions to the Riemann problem of the defocusing complex modified KdV equation ⋮ Defocusing nonlocal nonlinear Schr\"odinger equation with step-like boundary conditions: long-time behavior for shifted initial data ⋮ The focusing NLS equation with step-like oscillating background: the genus \(3\) sector

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