Solitons moving on background waves of the focusing nonlinear Schrödinger equation with step-like initial condition

DOI10.1016/j.physd.2024.134389MaRDI QIDQ6650098

Dinghao Zhu, Deng-Shan Wang, Guo-Fu Yu

Publication date: 6 December 2024

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hilbert problemsolitondiscrete spectrumLax pairnonlinear steepest-descent method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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