Nonlinear mirror image method for nonlinear Schrödinger equation: Absorption/emission of one soliton by a boundary
DOI10.1111/SAPM.12456zbMath1529.35463arXiv2107.02747OpenAlexW3208103459MaRDI QIDQ6085675
Vincent Caudrelier, Unnamed Author, Nicolas Crampé
Publication date: 12 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.02747
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) 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) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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