From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials
DOI10.1063/1.4961690zbMath1398.37065arXiv1511.08658OpenAlexW3098231413MaRDI QIDQ2820886
Emma Previato, Shigeki Matsutani
Publication date: 12 September 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.08658
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) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Special sequences and polynomials (11B83) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)
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