References
- Wu XL, Yin ZY. On the Cauchy problem for a generalized Degasperis–Procesi equation. J Math Phys. 2010;51:063523.
- Wu XL. On the Cauchy problem for the periodic generalized Degasperis–Procesi equation. J Funct Anal. 2011;260:1428–1445.
- Degasperis A, Holm DD, Hone ANW. A new integrable equation with peakon solution. Theoret Math Phys. 2002;133:1463–1474.
- Dullin HR, Gottwald GA, Holm DD. Camassa-Holm, Korteweg-de Vries-5 and other asymptotically equivalent equations for shallow water waves. Fluid Dynam Res. 2003;33:73–79.
- Degasperis A, Procesi M. Asymptotic integrability, In: Degasperis A, Gaeta G, editors. Symmetry and perturbation theory. Word Scientific. Singapore;1978. p. 23–37.
- Liu Y, Yin ZY. Global existence and blow-up phenomena for the Degasperis–Procesi equation. Comm Math Phys. 2006;267:801–820.
- Escher J, Liu Y, Yin ZY. Global weak solutions and blow-up structure for the Degasperis–Procesi equation. J Funct Anal. 2006;241:457–485.
- Escher J, Liu Y, Yin ZY. Shock waves and blow-up phenomena for the periodic Degasperis–Procesi equation. Indiana Univ Math J. 2007;56:87–117.
- Yin ZY. Global weak solutions to a new periodic integrable equation with peakon solutions. J Funct Anal. 2004;212:182–194.
- Yin ZY. Global solutions to a new integrable equation with peakons. Indiana Univ Math J. 2004;53:1189–1210.
- Yin ZY. On the Cauchy problem for an integrable equation with peakon solutions. Illinois J Math. 2003;47:649–666.
- Yin ZY. Global existence for a new periodic integrable equation. J Math Anal Appl. 2003;283:129–139.
- Zhou Y. Blow-up phenomenon for the integrable Degasperis–Procesi equation. Phys Lett A. 2004;328:157–162.
- Guo Z. Blow-up and global solutions to a new integrable model with two components. J Math Anal Appl. 2010;372:316–327.
- Liu Y, Yin Z. Global existence and blow-up phenomena for Degasperis–Procesi equation. Comm Math Phys. 2006;267:801–820.
- Escher J, Yin ZY. On the initial boundary value problems for the Degasperis–Procesi equation. Phys Lett A. 2006;368:69–76.
- Gui GL, Liu Y. On the Cauchy problem for the Degasperis–Procesi equation. Quart Appl Math. 2011;69:445–464.
- Himonas AA, Holliman C. On well-posedness of the Degasperis–Procesi equation. Discrete Contin Dyn Syst. 2011;31:469–488.
- Himonas AA, Holliman C, Grayshan K. Norm inflation and Ill-posedness for the Degasperis–Procesi equation. Commun Part Diff Equ. 2014;39:2198–2215.
- Feola R, Giuliani F, Pasquali S. On the integrability of Degasperis–Procesi equation: control of the Sobolev norms and Birkhoff resonances. J Differ Equ. 2019;266:3390–3437.
- Henry D. Infinite propagation speed for the Degasperis–Procesi equation. J Math Anal Appl. 2005;311:755–799.
- Lenells J. Traveling wave solutions of the Degasperis–Procesi equation. J Math Anal Appl. 2005;306:72–82.
- Lundmark H, Szmigielski J. Multi-peakon solutions of the Degasperis–Procesi equation. Inverse Probl. 2003;19:1241–1245.
- Vakhnenko VO, Parkes EJ. Periodic and solitary-wave solutions of the Degasperis–Procesi equation. Chaos Solitons Fractals. 2004;20:1059–1073.
- Lin ZW, Liu Y. Stability of peakons for the Degasperis–Procesi equation. Comm Pure Appl Math. 2009;62:125–146.
- Kabakouala A. Stability in the energy space of the sum of N-peakons for the Degasperis–Procesi equation. J Differ. Equ.. 2015;259:1841–1897.
- Brandolese L. Local-in-space criteria for blowup in shallow water and dispersive rod equations. Commun Math Phys. 2014;330:401–414.
- Brandolese L, Cortez MF. Blowup issues for a class of nonlinear dispersive wave equations. J Differ Equ. 2014;256:3981–3998.
- Brandolese L, Cortez MF. On permanent and breaking waves in hyperelastic rods and rings. J Funct Anal. 2014;266:6954–6987.
- Kato T. Quasi-linear equations of evolution, with applications to partial differential equations. In: Spectral theory and differential equations. Vol. 448. Lecture Notes in Math. Berlin: Springer-Verlag; 1975. p. 25–70.