On the link between umbilic geodesics and soliton solutions of nonlinear PDEs

DOI10.1098/rspa.1995.0107zbMath0835.35125OpenAlexW2098597094MaRDI QIDQ4854118

Jerrold E. Marsden, Darryl D. Holm, Roberto Camassa, Mark S. Alber

Publication date: 8 November 1995

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1995.0107

zbMATH Keywords

Dym equationumbilic billiardsHamiltonian systems on Riemann surfacesumbilic geodesicsumbilic solitons

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

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