Local well-posedness and stability of peakons for a generalized Dullin-Gottwald-Holm equation
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Publication:631722
DOI10.1016/j.na.2010.12.005zbMath1211.35072arXiv1304.4038OpenAlexW2016085457MaRDI QIDQ631722
Publication date: 14 March 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.4038
Stability in context of PDEs (35B35) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08)
Related Items (20)
Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation ⋮ On the Cauchy problem for a Camassa-Holm type equation with cubic and quartic nonlinearities ⋮ The Cauchy problem for a generalized Dullin–Gottwald–Holm equation in Besov spaces ⋮ Wave breaking for shallow water models with time decaying solutions ⋮ Orbital stability of the sum of \(N\) peakons for the Dullin-Gottwald-Holm equation ⋮ On the Cauchy problem for the new integrable two-component Novikov equation ⋮ Local well-posedness and stability of solitary waves for the two-component Dullin-Gottwald-Holm system ⋮ Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities ⋮ On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation ⋮ On the Cauchy problem of a new integrable two-component Novikov equation ⋮ Global conservative solution for a dissipative Camassa-Holm type equation with cubic and quartic nonlinearities ⋮ EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION ⋮ On the Cauchy problem for a generalized Camassa-Holm equation with both quadratic and cubic nonlinearity ⋮ Traveling wave solutions of generalized Dullin-Gottwald-Holm equation with parabolic law nonlinearity ⋮ Blow-up phenomena and stability of solitary waves for a generalized Dullin-Gottwald-Holm equation ⋮ On the Cauchy problem for the generalized Camassa-Holm equation ⋮ Persistence properties for a generalized Camassa-Holm equation in weighted \(L^p\) spaces ⋮ Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation ⋮ Self-Adjointness and Conservation Laws for a Generalized Dullin-Gottwald-Holm Equation ⋮ On the solutions of the cross-coupled Camassa-Holm system
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