Fractional curve flows and solitonic hierarchies in gravity and geometric mechanics

DOI10.1063/1.3589964zbMath1317.70009arXiv1007.2866OpenAlexW3106506215MaRDI QIDQ5266016

Sergiu I. Vacaru, Dumitru Baleanu

Publication date: 29 July 2015

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

Full work available at URL: https://arxiv.org/abs/1007.2866

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03) Soliton solutions (35C08) Nonholonomic dynamical systems (37J60)

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Cites Work

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• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives

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