Some properties of solutions to the weakly dissipative \(b\)-family equation

DOI10.1016/j.nonrwa.2011.07.020zbMath1238.35141OpenAlexW1970837255MaRDI QIDQ420021

Mingxuan Zhu, Zaihong Jiang

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.07.020

zbMATH Keywords

blow-uppersistence propertyinfinite propagation speed\(b\)-family equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)

Related Items (7)

On the weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov equations ⋮ On the Cauchy problem for a weakly dissipative \(\mu\)-Degasperis-Procesi equation ⋮ On blow-up of solutions to a weakly dissipative two-component Camassa-Holm system ⋮ Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system ⋮ Large time behavior for the support of momentum density of the Holm-Staley \(b\)-family equation with weakly dissipative term ⋮ The properties of solutions to the dissipative 2-component Camassa–Holm system ⋮ On the Cauchy problem for a class of weakly dissipative one-dimensional shallow water equations

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