On the Ablowitz–Ladik equations with self-consistent sources

DOI10.1088/1751-8113/40/30/011zbMath1120.37046OpenAlexW2047514164MaRDI QIDQ5757553

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Publication date: 7 September 2007

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

Full work available at URL: https://doi.org/10.1088/1751-8113/40/30/011

zbMATH Keywords

solitonsBäcklund transformationsDarboux transformationsnegatonspositonsdiscrete NLS equationdiscrete mKdV equation

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) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (5)

Conservation laws of some soliton equations with self-consistent sources ⋮ An Ablowitz-Ladik integrable lattice hierarchy with multiple potentials ⋮ The periodic solutions of the discrete modified KdV equation with a self-consistent source ⋮ Periodic waves in the discrete mKdV equation: modulational instability and rogue waves ⋮ The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform

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