On the long-time asymptotic for a coupled generalized nonlinear Schrödinger equations with weighted Sobolev initial data
DOI10.1016/j.physd.2023.133915zbMath1527.35386MaRDI QIDQ6090659
Shou-Fu Tian, Jin-Jie Yang, Zhi-Qiang Li
Publication date: 17 November 2023
Published in: Physica D (Search for Journal in Brave)
Riemann-Hilbert problemintegrable systeminfinite conservation lawslong-time asymptotic\(\bar{\partial}\)-steepest descent methodcoupled generalized nonlinear Schrödinger equations
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) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) NLS equations (nonlinear Schrödinger equations) (35Q55) Riemann-Hilbert problems in context of PDEs (35Q15) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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