Discrete mKdV and discrete sine-Gordon flows on discrete space curves

DOI10.1088/1751-8113/47/23/235202zbMath1299.35264arXiv1311.4245OpenAlexW2067284170MaRDI QIDQ5495121

Jun-Ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

Publication date: 31 July 2014

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

Full work available at URL: https://arxiv.org/abs/1311.4245

zbMATH Keywords

discrete integrable systemsdiscrete mKdV equationdiscrete sine-Gordon equationdiscrete curve

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (7)

Nonlinear d'Alembert formula for discrete pseudospherical surfaces ⋮ Isogonal deformation of discrete plane curves and discrete Burgers hierarchy ⋮ Infinitesimal Darboux transformation and semi-discrete MKDV equation ⋮ dNLS Flow on Discrete Space Curves ⋮ Fairing of discrete planar curves to integrable discrete analogue of Euler’s elasticae ⋮ Unnamed Item ⋮ From the Real and Complex Coupled Dispersionless Equations to the Real and Complex Short Pulse Equations

This page was built for publication: Discrete mKdV and discrete sine-Gordon flows on discrete space curves