Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation

DOI10.1088/1361-6544/ad76f5zbMath1547.65156MaRDI QIDQ6608798

Zhen Wang, Shikun Cui

Publication date: 20 September 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

numerical methodinverse scattering transformRiemann-Hilbert problemderivative nonlinear Schrödinger equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

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