Wave breaking and propagation speed for a class of nonlocal dispersive \(\theta \)-equations

DOI10.1016/j.nonrwa.2010.07.002zbMath1206.35221OpenAlexW1981200476MaRDI QIDQ611281

Yong Zhou, Lidiao Ni

Publication date: 14 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.07.002

zbMATH Keywords

blow-uppropagation speed\(\theta \)-equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Continuation and prolongation of solutions to PDEs (35B60) Blow-up in context of PDEs (35B44)

Related Items

On blow-up phenomena for the weakly dissipative Camassa-Holm equation, On a shallow water equation perturbed in Schwartz class, Some properties of solutions to the weakly dissipative \(b\)-family equation, On solutions to the Degasperis-Procesi equation, Well-posedness and blow-up phenomena for a higher order shallow water equation, Blow-up phenomenon for the integrable Novikov equation, On the Cauchy problem for the \(b\)-family equations with a strong dispersive term, Persistence property and asymptotic description for DGH equation with strong dissipation, Wave breaking and propagation speed for the Camassa-Holm equation with \(\kappa \neq 0\), Global weak solutions to the weakly dissipative Degasperis-Procesi equation, Persistence property and infinite propagation speed for the \(b\)-family of Fokas-Olver-Rosenau-Qiao (\(b\)FORQ) model, On the Cauchy problem for a class of weakly dissipative one-dimensional shallow water equations, A new asymptotic behavior of solutions to the Camassa-Holm equation, Abundant dynamical behaviors of bounded traveling wave solutions to generalized \(\theta\)-equation, Bifurcation of solitons, peakons, and periodic cusp waves for \(\theta\)-equation

Cites Work

• Unnamed Item
• Unnamed Item
• On the well-posedness of the Degasperis-Procesi equation
• Global conservative solutions of the Camassa-Holm equation
• Formation and dynamics of shock waves in the Degasperis-Procesi equation
• On discreteness of the Hopf equation
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• On the Cauchy problem for an integrable equation with peakon solutions
• Wave breaking for a periodic shallow water equation.
• Stability of solitary waves for a rod equation
• Wave breaking for a shallow water equation
• Blow-up phenomenon for the integrable Degasperis-Procesi equation
• Persistence properties and unique continuation of solutions of the Camassa-Holm equation
• On the weak solutions to a shallow water equation
• Finite propagation speed for the Camassa–Holm equation
• On solutions to the Holm–Staleyb-family of equations
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• A Note on the Degasperis-Procesi Equation