Multiscale Expansion and Integrability Properties of the Lattice Potential KdV Equation

DOI10.2991/jnmp.2008.15.s3.31zbMath1362.35262arXiv0709.3704OpenAlexW2028071077MaRDI QIDQ5347009

Christian Scimiterna, Rafael Hernández Heredero, Matteo Petrera, Decio Levi

Publication date: 30 May 2017

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

Full work available at URL: https://arxiv.org/abs/0709.3704

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Classification of discrete systems on a square lattice

Cites Work

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• Multi-scale expansions in the theory of systems integrable by the inverse scattering transform
• Multiple-scale perturbation beyond the nonlinear Schrödinger equation. I
• The discrete Korteweg-de Vries equation
• Discrete reductive perturbation technique
• Multiscale expansion on the lattice and integrability of partial difference equations
• Multiscale expansion of the lattice potential KdV equation on functions of an infinite slow-varyness order
• Nonlinear evolution equations, rescalings, model PDES and their integrability: I
• Multiscale analysis of discrete nonlinear evolution equations
• A discrete Schr dinger spectral problem and associated evolution equations
• The Toda lattice. II. Existence of integrals

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