Quaternion algebra approach to nonlinear Schrödinger equations with nonvanishing boundary conditions
DOI10.1007/S11587-023-00798-6MaRDI QIDQ6635339
Publication date: 9 November 2024
Published in: Ricerche di Matematica (Search for Journal in Brave)
Miura transformationfocusing NLS equationmatrix KdV equationmatrix triplet methodquaternionic scattering theory
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Matrices over special rings (quaternions, finite fields, etc.) (15B33) 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) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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