Existence and singularities of solutions to an integrable equation governing short-waves in a long-wave model

DOI10.1063/1.3488968zbMath1309.76034OpenAlexW1980490005MaRDI QIDQ5245813

Yu-Xia Fu, Zhaoyang Yin

Publication date: 15 April 2015

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

Full work available at URL: https://doi.org/10.1063/1.3488968

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) Shock waves and blast waves in fluid mechanics (76L05) 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)

Related Items

Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model ⋮ Stability and convergence of a conservative finite difference scheme for the modified Hunter-Saxton equation

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