Self-similar blowup solutions to the 2-component Camassa–Holm equations

DOI10.1063/1.3490189zbMath1309.76042arXiv1007.0962OpenAlexW1986532753WikidataQ59292238 ScholiaQ59292238MaRDI QIDQ5245828

Manwai Yuen

Publication date: 15 April 2015

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

Full work available at URL: https://arxiv.org/abs/1007.0962

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) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06)

Related Items

Perturbational blowup solutions to the 2-component Camassa-Holm equations ⋮ A note on a modified two-component Camassa-Holm system ⋮ Self-similar blowup solutions to the 2-component Degasperis-Procesi shallow water system ⋮ Asymptotic profiles of solutions to the two-component Camassa-Holm system ⋮ Perturbational self-similar solutions for the 2-component Degasperis--Procesi system via a characteristic method ⋮ A class of blowup and global analytical solutions of the viscoelastic Burgers' equations ⋮ Some exact blowup solutions to the pressureless Euler equations in \(\mathbb R^{N}\) ⋮ Analytical Cartesian solutions of the multi-component Camassa-Holm equations ⋮ Blow-up of solutions to a novel two-component rod system ⋮ Blow-up criteria of solutions for a modified two-component hyperelastic rod system

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