An integrable discretization of KdV at large times
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Publication:2738849
DOI10.1088/0266-5611/17/3/310zbMath0981.35067arXivnlin/0101023OpenAlexW1965362225MaRDI QIDQ2738849
A. Spire, F. Pempinelli, M. Boiti, Barbara Prinari
Publication date: 16 December 2001
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0101023
Schrödinger operatordirect and inverse scattering problemsdifferential-difference nonlinear evolution equationintegrable difference-difference equation
KdV equations (Korteweg-de Vries equations) (35Q53) Partial functional-differential equations (35R10) Lattice dynamics; integrable lattice equations (37K60)
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A new integrable hierarchy and constrained flows, its expanding integrable system ⋮ Spectrum transformation and conservation laws of lattice potential KdV equation ⋮ Discrete Crum's theorems and lattice KdV-type equations ⋮ Constructing \((2+1)\)-dimensional nonlinear soliton equations with a generalized zero curvature equation ⋮ Infinitely many conservation laws for two integrable lattice hierarchies associated with a new discrete Schrödinger spectral problem
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