A Unified and Explicit Construction of N -Soliton Solutions for the Nonlinear Schrödinger Equation

DOI10.1088/0253-6102/36/4/401zbMath1164.35491OpenAlexW2101598418MaRDI QIDQ3536664

En-gui Fan

Publication date: 21 November 2008

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/36/4/401

zbMATH Keywords

Schrödinger equation\(N\)-soliton solutions\(N\)-fold Darboux transformation

Mathematics Subject Classification ID

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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Darboux transformation and multi-soliton solutions for some soliton equations ⋮ Darboux transformation and explicit solutions for two integrable equations

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