Algebro-geometric solutions to the Manakov hierarchy (Q2805612)

scientific article; zbMATH DE number 6579949

Language	Label	Description	Also known as
English	Algebro-geometric solutions to the Manakov hierarchy	scientific article; zbMATH DE number 6579949

Statements

instance of

scholarly article

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title

Algebro-geometric solutions to the Manakov hierarchy (English)

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12 May 2016

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zbMATH Keywords

Manakov hierarchy

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algebro-geometric solution

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trigonal curve

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1080/00036811.2015.1031220

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cites work

Q4327356

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N-Soliton Collision in the Manakov Model

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Shape-changing collisions of coupled bright solitons in birefringent optical fibers.

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A dark-bright optical soliton solution to the coupled nonlinear Schrödinger equation

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Bright and dark soliton solutions to coupled nonlinear Schrodinger equations

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On the solution of multicomponent nonlinear Schrödinger equations

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Bright<i>N</i>-soliton solutions in terms of the triple Wronskian for the coupled nonlinear Schrödinger equations in optical fibers

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General N-Dark-Dark Solitons in the Coupled Nonlinear Schrödinger Equations

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Some general periodic solutions to coupled nonlinear Schrödinger equations.

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To the integrability of the system of two coupled nonlinear Schrödinger equations

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Nonlinearization of the \(3\times 3\) matrix eigenvalue problem related to coupled nonlinear Schrödinger equations

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The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws

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Closure of the Manakov System

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The vector nonlinear Schrödinger hierarchy

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Symmetry and perturbation of the vector nonlinear Schrödinger equation

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On the Bäcklund-gauge transformation and homoclinic orbits of a coupled nonlinear Schrödinger system

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Darboux coordinates and Liouville-Arnold integration in loop algebras

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Quasi-periodic solutions of the coupled nonlinear Schrödinger equations

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Quasi-periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type

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Quasiperiodic and periodic solutions for vector nonlinear Schrödinger equations

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Effective integration of the nonlinear vector Schrödinger equation

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Differential equations for the Baker-Akhiezer functions of algebraic curves

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Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model

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Quasiperiodic solutions for matrix nonlinear Schrödinger equations

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Algebraic geometrical solutions for certain evolution equations and Hamiltonian flows on nonlinear subvarieties of generalized Jacobians

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Relation between the Kadometsev–Petviashvili equation and the confocal involutive system

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Theta functions and non-linear equations

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Decomposition of the \((2+1)\)-dimensional Gardner equation and its quasi-periodic solutions

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The Periodic Cubic Schrõdinger Equation

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Finite genus solutions to the Ablowitz‐Ladik equations

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Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation

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Real finite-gap regular solutions of the Kaup-Boussinesq equation

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Quasiperiodic solutions for dissipative Boussinesq systems

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Abelian functions for cyclic trigonal curves of genus 4

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Finite-gap potentials with trigonal curves

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ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY

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Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions

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Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy

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Identifiers

zbMATH Open document ID

1338.35384

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DOI

10.1080/00036811.2015.1031220

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2805612