Inverse scattering approach to coupled higher-order nonlinear Schrödinger equation and \(N\)-soliton solutions

DOI10.1016/j.nuclphysb.2003.12.018zbMath1036.37026arXivnlin/0304004OpenAlexW1976075247MaRDI QIDQ1419552

Sudipta Nandy

Publication date: 18 January 2004

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0304004

zbMATH Keywords

coupled Riccati equationsinfinite conserved-quantity-numberlocal-amplitude-maximum number

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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Cites Work

• Polarized optical vortex solitons: Instabilities and dynamics in Kerr nonlinear media
• Inverse scattering method and vector higher order nonlinear Schrödinger equation
• A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
• Lie symmetries of a generalised nonlinear Schrodinger equation: I. The symmetry group and its subgroups
• Lie symmetries of a generalised non-linear Schrodinger equation. II. Exact solutions
• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• The inverse scattering transform: Semi-infinite interval
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• A search for bilinear equations passing Hirota’s three-soliton condition. IV. Complex bilinear equations
• Complete integrability ofN-coupled higher-order nonlinear Schrödinger equations in nonlinear optics
• The spectral theory of a functional-difference operator in conformal field theory
• Exact envelope-soliton solutions of a nonlinear wave equation