Some properties of solutions to the Camassa-Holm-type equation with higher-order nonlinearities

DOI10.1007/s00332-018-9469-7zbMath1402.37084OpenAlexW2805465438WikidataQ129801976 ScholiaQ129801976MaRDI QIDQ1631301

Xiuge Li, Chuang Yu, Zhengguang Guo

Publication date: 6 December 2018

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-018-9469-7

zbMATH Keywords

weighted Sobolev spaceslarge-time behaviorpersistence properties

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Wave equation (35L05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

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The entropy weak solution to a generalized Fornberg-Whitham equation ⋮ Well-posedness and behaviors of solutions to an integrable evolution equation ⋮ Formation of singularity of solution to a nonlinear shallow water equation ⋮ A necessary and sufficient condition of blow-up for a nonlinear equation ⋮ Wave breaking phenomenon to a nonlinear equation including the Fornberg-Whitham model ⋮ Local well-posedness and decay for some generalized shallow water equations ⋮ Global weak solutions to a nonlinear equation with fourth order nonlinearities ⋮ The local strong solution and wave breaking feature to a Camassa-Holm type equation ⋮ Large time behavior of momentum support for a Novikov type equation ⋮ Unnamed Item ⋮ Global existence and long time behavior of the generalized Camassa–Holm equation with k + 1 degree nonlinearities ⋮ The dynamic properties of solutions for a nonlinear shallow water equation

Cites Work

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