Critical density of a soliton gas

DOI10.1063/1.4941372zbMath1390.37122arXiv1512.02470OpenAlexW2263373429WikidataQ50701396 ScholiaQ50701396MaRDI QIDQ4563834

Gennady A. El

Publication date: 4 June 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02470

zbMATH Keywords

Schrödinger operatorsoliton gasGaussian spectral distributionKorteweg-de Vries soliton gas

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Statistical mechanics of gases (82D05)

Related Items

Almost periodicity in time of solutions of the KdV equation, A continuous analog of the binary Darboux transformation for the Korteweg–de Vries equation, Properties of synchronous collisions of solitons in the Korteweg-de Vries equation, KdV equation beyond standard assumptions on initial data, Soliton spectra of random water waves in shallow basins, Numerical modeling of soliton turbulence within the focusing Gardner equation: rogue wave emergence, Rigorous asymptotics of a KdV soliton gas, Soliton gas in integrable dispersive hydrodynamics

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