On the low regularity solutions and wave breaking for an equation modeling shallow water waves of moderate amplitude

DOI10.1016/j.na.2014.04.021zbMath1292.35096OpenAlexW1991839850MaRDI QIDQ2453596

Xingxing Liu, Jingjing Liu

Publication date: 10 June 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.04.021

zbMATH Keywords

low regularity solutionswave breakingpropagation of surface wavesshallow water waves of moderate amplitude

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)

Related Items (7)

Wave breaking for the Constantin-Lannes equation revisited ⋮ Wave breaking phenomena for the generalized hyperelastic rod wave equation ⋮ On the weak solutions and persistence properties for the variable depth KDV general equations ⋮ Cusped solitary wave with algebraic decay governed by the equation for surface waves of moderate amplitude ⋮ Symmetric waves are traveling waves for a shallow water equation modeling surface waves of moderate amplitude ⋮ Stability in the energy space of the sum of \(N\) solitary waves for an equation modelling shallow water waves of moderate amplitude ⋮ On the solutions of the cross-coupled Camassa-Holm system

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