Inverse Scattering Transform and Solitons for Square Matrix Nonlinear Schrödinger Equations

DOI10.1111/SAPM.12223zbMath1420.35375OpenAlexW2884884418MaRDI QIDQ4967128

Alyssa K. Ortiz, M. P. Grabowski, Barbara Prinari, Cornelis V. M. van der Mee

Publication date: 2 July 2019

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12223

zbMATH Keywords

soliton solutionsBose-Einstein condensatesinverse scattering transform (IST)matrix nonlinear Schrödinger equations

Mathematics Subject Classification ID

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) Quantum equilibrium statistical mechanics (general) (82B10) Lasers, masers, optical bistability, nonlinear optics (78A60) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

Related Items (10)

Darboux transformation and solitonic solution to the coupled complex short pulse equation ⋮ Inverse scattering transform for the complex coupled short‐pulse equation ⋮ Solitons for the coupled matrix nonlinear Schrödinger-type equations and the related Schrödinger flow ⋮ Inverse scattering transform for the coupled modified complex short pulse equation: Riemann-Hilbert approach and soliton solutions ⋮ Integrability of the vector nonlinear Schrödinger-Maxwell-Bloch equation and the Cauchy matrix approach ⋮ Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions ⋮ Multiple Higher-Order Pole Solutions in Spinor Bose–Einstein Condensates ⋮ Multi-fold binary Darboux transformation and mixed solitons of a three-component Gross-Pitaevskii system in the spinor Bose-Einstein condensate ⋮ Reflectionless solutions for square matrix NLS with vanishing boundary conditions ⋮ Inverse Scattering Transform and Solitons for Square Matrix Nonlinear Schrödinger Equations with Mixed Sign Reductions and Nonzero Boundary Conditions

This page was built for publication: Inverse Scattering Transform and Solitons for Square Matrix Nonlinear Schrödinger Equations