The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: inverse scattering transform and multisoliton solutions
DOI10.1134/S0040577922010020zbMath1486.81103arXiv1911.12498OpenAlexW2990591622MaRDI QIDQ2668236
Publication date: 3 March 2022
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.12498
inverse scattering transformRiemann-Hilbert problemmulti-soliton solutionsgeneral fifth-order nonlinear Schrödinger equation
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08) Special quantum systems, such as solvable systems (81Q80) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)
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