\(\overline{\partial}\)-dressing approach and \(N\)-soliton solutions of the general reverse-space nonlocal nonlinear Schrödinger equation
DOI10.1016/J.AML.2024.109293MaRDI QIDQ6656465
Pengfei Han, Feng Zhang, Yi Zhang, Xiang-Peng Xin
Publication date: 3 January 2025
Published in: Applied Mathematics Letters (Search for Journal in Brave)
soliton solutionsHeisenberg chain equation\(\overline{\partial}\)-dressing approachgeneral nonlocal nNLS equation
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) Riemann-Hilbert problems in context of PDEs (35Q15) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs in connection with statistical mechanics (35Q82)
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