Ablowitz-Ladik hierarchy of integrable equations on a time-space scale

DOI10.1063/1.4896564zbMath1366.37132OpenAlexW2024556471MaRDI QIDQ2928105

G. R. Hovhannisyan

Publication date: 6 November 2014

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

Full work available at URL: https://semanticscholar.org/paper/27273b1ae12e718d9a21f0e33babee999c4e57b6

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)

Related Items (4)

On Burgers equation on a time-space scale ⋮ Darboux transformations on a space scale ⋮ Lax systems and nonlinear equations on a time-space scale ⋮ 3 soliton solution to Sine-Gordon equation on a space scale

Cites Work

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• Analysis on measure chains - a unified approach to continuous and discrete calculus
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Mel'nikov analysis of numerically induced chaos in the nonlinear Schrödinger equation
• Nonlinear differential−difference equations

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