Symmetry and perturbation of the vector nonlinear Schrödinger equation

DOI10.1016/S0167-2789(01)00168-3zbMath0977.35134OpenAlexW2077416760WikidataQ61835411 ScholiaQ61835411MaRDI QIDQ5940207

Yuji Kodama, Alexander V. Mikhailov

Publication date: 17 January 2002

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00168-3

zbMATH Keywords

master symmetriessymmetry algebra of the \(N\)-component vector nonlinear Schrödinger equationVirasoro type algebra

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (10)

Dynamics of the smooth positons of the coupled nonlinear Schrödinger equations ⋮ Rogue waves and their patterns in the vector nonlinear Schrödinger equation ⋮ The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws ⋮ Boundary conditions for infinite conservation laws ⋮ Integrable couplings of vector AKNS soliton equations ⋮ Algebro-geometric solutions to the Manakov hierarchy ⋮ On the role of four-wave mixing effect in the interactions between nonlinear modes of coupled generalized nonlinear Schrödinger equation ⋮ The determinant representation of Darboux transformation for the Kulish-Sklyanin model and novel soliton solutions for \(m = 2\) ⋮ Integrable properties of the general coupled nonlinear Schrödinger equations ⋮ An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation

Cites Work

• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
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