Quasiperiodic and periodic solutions for vector nonlinear Schrödinger equations

DOI10.1063/1.1318733zbMath0973.35175OpenAlexW2061313735MaRDI QIDQ2731835

Eilbeck, J. C., Viktor Z.Enol'skij, Nikolay A. Kostov

Publication date: 30 July 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1318733

zbMATH Keywords

vector nonlinear Schrödinger equationspulse-pulse interactions in optical fiber transmission systems

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (9)

Effective integration of ultra-elliptic solutions of the focusing nonlinear Schrödinger equation ⋮ A continuation approach to the periodic boundary value problem for a class of nonlinear coupled oscillators with potential depending on time ⋮ The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws ⋮ On elliptic solutions of a coupled nonlinear Schrödinger system ⋮ Hyperelliptic loop solitons with genus \(g\): investigations of a quantized elastica ⋮ Algebro-geometric solutions to the Manakov hierarchy ⋮ Generalized perturbed complex Toda chain for Manakov system and exact solutions of Bose-Einstein mixtures ⋮ An algebro-geometric model for the shape of supercoiled DNA ⋮ Exact solutions for a class of integrable Hénon–Heiles-type systems

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