Infinite propagation speed and asymptotic behavior for a two-component Degasperis–Procesi system

[1]  Z. Yin,et al.  Initial boundary value problems for the two-component shallow water systems. , 2013 .

[2]  Qu Chang-zheng,et al.  UNIQUE CONTINUATION AND PERSISTENCE PROPERTIES OF SOLUTIONS OF THE 2-COMPONENT DEGASPERIS-PROCESI EQUATIONS , 2012 .

[3]  Z. Yin,et al.  On the Cauchy problem for a two-component Degasperis–Procesi system , 2011, 1105.1196.

[4]  Yong Zhou.  On solutions to the Holm–Staley b-family of equations , 2010 .

[5]  J. Escher,et al.  The Degasperis–Procesi equation as a non-metric Euler equation , 2009, 0908.0508.

[6]  D. Henry.  Infinite propagation speed for a two component Camassa-Holm equation , 2009 .

[7]  J. Escher,et al.  Initial boundary value problems for nonlinear dispersive wave equations , 2009 .

[8]  A. Constantin,et al.  The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations , 2007, 0709.0905.

[9]  Joachim Escher,et al.  Particle trajectories in solitary water waves , 2007 .

[10]  Hans Lundmark,et al.  Formation and Dynamics of Shock Waves in the Degasperis-Procesi Equation , 2007, J. Nonlinear Sci..

[11]  Joachim Escher,et al.  Global weak solutions and blow-up structure for the Degasperis–Procesi equation , 2006 .

[12]  Zhaoyang Yin,et al.  Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation , 2006 .

[13]  Adrian Constantin,et al.  The trajectories of particles in Stokes waves , 2006 .

[14]  Z.Popowicz,et al.  A two-component generalization of the Degasperis–Procesi equation , 2006, nlin/0604067.

[15]  Yong Zhou,et al.  Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation , 2006, math/0604192.

[16]  Giuseppe Maria Coclite,et al.  On the well-posedness of the Degasperis-Procesi equation , 2006 .

[17]  D. Henry.  Infinite propagation speed for the Degasperis–Procesi equation☆ , 2005 .

[18]  Jonatan Lenells,et al.  Traveling wave solutions of the Degasperis-Procesi equation , 2005 .

[19]  D. Henry.  Compactly Supported Solutions of the Camassa-Holm Equation , 2005 .

[20]  Zhaoyang Yin,et al.  Global weak solutions for a new periodic integrable equation with peakon solutions , 2004 .

[21]  A. Constantin,et al.  Geodesic flow on the diffeomorphism group of the circle , 2003 .

[22]  Hans Lundmark,et al.  Multi-peakon solutions of the Degasperis–Procesi equation , 2003, nlin/0503033.

[23]  Zhaoyang Yin,et al.  Global existence for a new periodic integrable equation , 2003 .

[24]  Zhaoyang Yin,et al.  On the Cauchy problem for an integrable equation with peakon solutions , 2003 .

[25]  Adrian Constantin,et al.  Stability of the Camassa-Holm solitons , 2002, J. Nonlinear Sci..

[26]  Darryl D. Holm,et al.  A New Integrable Equation with Peakon Solutions , 2002, nlin/0205023.

[27]  Ping Zhang,et al.  On the weak solutions to a shallow water equation , 2000 .

[28]  W. Strauss,et al.  Stability of peakons , 2000 .

[29]  J. Escher,et al.  Wave breaking for nonlinear nonlocal shallow water equations , 1998 .

[30]  Gerard Misio łek.  A shallow water equation as a geodesic flow on the Bott-Virasoro group , 1998 .

[31]  Darryl D. Holm,et al.  An integrable shallow water equation with peaked solitons. , 1993, Physical review letters.

[32]  Joachim Escher,et al.  Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation , 2007 .

[33]  Zhaoyang Yin,et al.  Global solutions to a new integrable equation with peakons , 2004 .

[34]  J. Escher,et al.  Global existence and blow-up for a shallow water equation , 1998 .