Burchnall-Chaundy Theory for q-Difference Operators and q-Deformed Heisenberg Algebras

DOI10.2991/jnmp.2003.10.s2.7zbMath1362.39010OpenAlexW2169007584MaRDI QIDQ5346872

No author found.

Publication date: 30 May 2017

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

Full work available at URL: https://doi.org/10.2991/jnmp.2003.10.s2.7

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Lattice functional-differential equations (34K31) Spectral theory of functional-differential operators (34K08)

Related Items (1)

Symmetries for the Ablowitz-Ladik Hierarchy: Part II. Integrable Discrete Nonlinear Schrödinger Equations and Discrete AKNS Hierarchy

Cites Work

• Unnamed Item
• Unnamed Item
• Symmetries of the discrete nonlinear Schrödinger equation
• Lie point symmetries of difference equations and lattices
• Lie group classification of second-order ordinary difference equations
• The Similarity Method for Difference Equations
• Symmetry group of partial differential equations and of differential difference equations: the Toda lattice versus the Korteweg-de Vries equation
• Discrete nonlinear Schrodinger equation under nonvanishing boundary conditions
• Nonlinear differential−difference equations
• Nonlinear differential–difference equations and Fourier analysis
• Generating exactly soluble nonlinear discrete evolution equations by a generalized Wronskian technique
• Symmetries of the discrete Burgers equation
• Lie algebra contractions and symmetries of the Toda hierarchy
• An O(3,1) nonlinear sigma -model and the Ablowitz-Ladik hierarchy
• Lie symmetries of finite-difference equations
• Lie symmetries for integrable evolution equations on the lattice
• Lie group formalism for difference equations

This page was built for publication: Burchnall-Chaundy Theory for q-Difference Operators and q-Deformed Heisenberg Algebras