A matrix Schrödinger approach to focusing nonlinear Schrödinger equations with nonvanishing boundary conditions
DOI10.1007/s00332-022-09816-7zbMath1492.35256OpenAlexW4293083655MaRDI QIDQ2146354
Francesco Demontis, Cornelis V. M. van der Mee
Publication date: 16 June 2022
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-022-09816-7
Miura transformationmatrix NLS equationintegrable nonlocal equationmatrix KdV equationmatrix triplet method
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)
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