The r-Hunter–Saxton equation, smooth and singular solutions and their approximation

DOI10.1088/1361-6544/abab4dzbMath1469.37052arXiv1911.09619OpenAlexW2991239330MaRDI QIDQ5136556

Jacob Deasy, Tristan Pryer, Colin John Cotter

Publication date: 26 November 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09619

zbMATH Keywords

singular solutionsCamassa-Holm equationLie symmetriesHunter-Saxton equationlinear PDEs

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06) Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K58)

Related Items (5)

Singular solutions of the r-Camassa–Holm equation ⋮ The \(L^p\)-Fisher-Rao metric and Amari-Čencov \(\alpha\)-connections ⋮ Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics ⋮ Exact solution of the Schrödinger equation for the time-dependent harmonic oscillator ⋮ A geometric view on the generalized Proudman-Johnson and \(r\)-Hunter-Saxton equations

Uses Software

• SYM

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