Functional Representation of the Negative AKNS Hierarchy

DOI10.1142/S1402925112500222zbMath1257.37048arXiv1209.0159OpenAlexW3105629770MaRDI QIDQ3165450

Vadim E. Vekslerchik

Publication date: 26 October 2012

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

Full work available at URL: https://arxiv.org/abs/1209.0159

zbMATH Keywords

conservation lawsAKNS hierarchyfunctional representationdark solitonsnegative flowsLandau-Lifshitz hierarchyMiwa's shifts

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items (3)

A vectorial binary Darboux transformation for the first member of the negative part of the AKNS hierarchy ⋮ \((2+1)\)-dimensional AKNS \((-N)\) systems. II ⋮ Functional representation of the negative DNLS hierarchy

Cites Work

• Unnamed Item
• A Generalization of Inverse Scattering Method
• Inverse scattering transform for the nonlinear -model

This page was built for publication: Functional Representation of the Negative AKNS Hierarchy