Algebrogeometric integration of the MNS equation, finite-gap solutions and their degeneration

DOI10.1007/BF01084168zbMath0516.35025OpenAlexW2029790472MaRDI QIDQ1052532

Alexander R. Its, Vladimir B. Matveev

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084168

zbMATH Keywords

multisoliton solutions modified nonlinear Schrödinger equation algebraic-geometrical integration finite-zonal solutions one soliton solutions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear elliptic equations (35J60) Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

Solutions of the Ablowitz-Kaup-Newell-Segur hierarchy equations of the ``rogue wave type: a unified approach ⋮ The complex Hamiltonian system in the Gerdjikov-Ivanov equation and its applications ⋮ A matrix Baker-Akhiezer function associated with the Maxwell-Bloch equations and their finite-gap solutions ⋮ Exact integration of nonlinear Schrödinger equation ⋮ Strange tori of the derivative nonlinear Schrödinger equation ⋮ Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method ⋮ Periodic problem for nonlinear Ablowitz model

Cites Work

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