Riemann-Hilbert approach to the focusing and defocusing nonlocal derivative nonlinear Schrödinger equation with step-like initial data
DOI10.1016/j.aml.2023.108885zbMath1528.35159MaRDI QIDQ6066909
Zuyi Shen, Ling Zhang, Bei-Bei Hu, Fang Fang
Publication date: 16 November 2023
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Cauchy problemRiemann-Hilbert problemnonlocal derivative nonlinear Schrödinger equationstep-like initial data
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) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
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