Construction of 2-solitons with logarithmic distance for the one-dimensional cubic Schrödinger system

DOI10.3934/DCDS.2020087zbMath1439.35442arXiv1903.07175OpenAlexW2996227736MaRDI QIDQ2301696

Yvan Martel, Tien Vinh Nguyen

Publication date: 25 February 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07175

zbMATH Keywords

asymptotic behaviorsolitonintegrablemulti-solitonnon-integrable systemone-dimensional cubic Schrödinger system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

Existence of two-solitary waves with logarithmic distance for the nonlinear Klein–Gordon equation ⋮ Strongly interacting solitary waves for the fractional modified Korteweg-de Vries equation ⋮ Description and classification of \(2\)-solitary waves for nonlinear damped Klein-Gordon equations ⋮ Lie symmetry properties of the two-component complex Ginzburg–Landau system with variable coefficients

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