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              {C}amassa--{H}olm equation},
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              solutions of the {C}amassa--{H}olm equation},
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     PAGES = {873--881},
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@article {johnson:2002:CH-KdV-water-waves,
    AUTHOR = {Johnson, R. S.},
     TITLE = {Camassa--{H}olm, {K}orteweg--de {V}ries and related models for
              water waves},
   JOURNAL = {J.~Fluid Mech.},
  FJOURNAL = {Journal of Fluid Mechanics},
    VOLUME = {455},
      YEAR = {2002},
     PAGES = {63--82},
       URL = {https://doi.org/10.1017/S0022112001007224},
}

@article {johnson:2003:classical-water-waves,
    AUTHOR = {Johnson, Robin S.},
     TITLE = {The classical problem of water waves: a reservoir of
              integrable and nearly-integrable equations},
   JOURNAL = {J.~Nonlinear Math. Phys.},
  FJOURNAL = {Journal of Nonlinear Mathematical Physics},
    VOLUME = {10},
      YEAR = {2003},
    NUMBER = {suppl.~1},
     PAGES = {suppl.~1, 72--92},
       URL = {https://doi.org/10.2991/jnmp.2003.10.s1.6},
}

@mics {kardell-lundmark:2016p:novikov-peakon-antipeakon,
    AUTHOR = {Kardell, M. and Lundmark, H.},
     TITLE = {Peakon-antipeakon solutions of the {N}ovikov equation},
      NOTE = {{i}n preparation},
}

@article {lai-li-wu:2013:novikov-global-solutions,
    AUTHOR = {Lai, Shaoyong and Li, Nan and Wu, Yonghong},
     TITLE = {The existence of global strong and weak solutions for the
              {N}ovikov equation},
   JOURNAL = {J.~Math. Anal. Appl.},
  FJOURNAL = {Journal of Mathematical Analysis and Applications},
    VOLUME = {399},
      YEAR = {2013},
    NUMBER = {2},
     PAGES = {682--691},
       URL = {https://doi.org/10.1016/j.jmaa.2012.10.048},
}

@article {li-olver:2000:CH-wellposedness-blowup,
    AUTHOR = {Li, Yi A. and Olver, Peter J.},
     TITLE = {Well-posedness and blow-up solutions for an integrable
              nonlinearly dispersive model wave equation},
   JOURNAL = {J~Differential Equations},
  FJOURNAL = {Journal of Differential Equations},
    VOLUME = {162},
      YEAR = {2000},
    NUMBER = {1},
     PAGES = {27--63},
       URL = {https://doi.org/10.1006/jdeq.1999.3683},
}

@article {liu-yin:2006:DP-global-existence-and-blowup,
    AUTHOR = {Liu, Yue and Yin, Zhaoyang},
     TITLE = {Global existence and blow-up phenomena for the
              {D}egasperis--{P}rocesi equation},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {267},
      YEAR = {2006},
    NUMBER = {3},
     PAGES = {801--820},
       URL = {https://doi.org/10.1007/s00220-006-0082-5},
}

@article {liu-yin:2007:DP-blowup-phenomena,
    AUTHOR = {Liu, Yue and Yin, Zhaoyang},
     TITLE = {On the blow-up phenomena for the {D}egasperis--{P}rocesi
              equation},
   JOURNAL = {Int. Math. Res. Not.},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
    VOLUME = {2007},
      YEAR = {2007},
    NUMBER = {23},
     PAGES = {Art.~ID rnm117, 22~pages},
      ISSN = {1073-7928},
       URL = {https://doi.org/10.1093/imrn/rnm117},
}

@article {lundmark:2007:shockpeakons,
    AUTHOR = {Lundmark, H.},
     TITLE = {Formation and dynamics of shock waves in the
              {D}egasperis--{P}rocesi equation},
   JOURNAL = {J.~Nonlinear Sci.},
  FJOURNAL = {Journal of Nonlinear Science},
    VOLUME = {17},
      YEAR = {2007},
    NUMBER = {3},
     PAGES = {169--198},
       URL = {https://doi.org/10.1007/s00332-006-0803-3},
}

@article {lundmark-szmigielski:2003:DPshort,
    AUTHOR = {Lundmark, Hans and Szmigielski, Jacek},
     TITLE = {Multi-peakon solutions of the {D}egasperis--{P}rocesi equation},
   JOURNAL = {Inverse Problems},
  FJOURNAL = {Inverse Problems. An International Journal on the Theory and
              Practice of Inverse Problems, Inverse Methods and Computerized
              Inversion of Data},
    VOLUME = {19},
      YEAR = {2003},
    NUMBER = {6},
     PAGES = {1241--1245},
       URL = {https://doi.org/10.1088/0266-5611/19/6/001},
    EPRINT = {nlin.SI/0503033},
}

@article {lundmark-szmigielski:2005:DPlong,
    AUTHOR = {Lundmark, Hans and Szmigielski, Jacek},
     TITLE = {Degasperis--{P}rocesi peakons and the discrete cubic string},
   JOURNAL = {Int. Math. Res. Pap.},
  FJOURNAL = {IMRP. International Mathematics Research Papers},
    VOLUME = {2005},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {53--116},
       URL = {https://doi.org/10.1155/IMRP.2005.53},
    EPRINT = {nlin.SI/0503036},
}

@article {lundmark-szmigielski:2016:GX-inverse-problem,
    AUTHOR = {Lundmark, Hans and Szmigielski, Jacek},
     TITLE = {An inverse spectral problem related to the {G}eng--{X}ue
              two-component peakon equation},
   JOURNAL = {Mem. Amer. Math. Soc.},
  FJOURNAL = {Memoirs of the American Mathematical Society},
    VOLUME = {244},
      YEAR = {2016},
    NUMBER = {1155},
     PAGES = {viii+87~pages},
       URL = {https://doi.org/10.1090/memo/1155},
    EPRINT = {1304.0854},
}

@article {lundmark-szmigielski:2017:GX-dynamics-interlacing,
    AUTHOR = {Lundmark, Hans and Szmigielski, Jacek},
     TITLE = {Dynamics of interlacing peakons (and shockpeakons) in the
              {G}eng--{X}ue equation},
   JOURNAL = {J.~Integrable Syst.},
  FJOURNAL = {Journal of Integrable Systems},
    VOLUME = {2},
      YEAR = {2017},
    NUMBER = {1},
     PAGES = {xyw014, 65~pages},
       URL = {https://doi.org/10.1093/integr/xyw014},
    EPRINT = {1605.02805},
}

@article {matsuno:2007:CH-multisolitons-peakon-limit,
    AUTHOR = {Matsuno, Yoshimasa},
     TITLE = {The peakon limit of the {$N$}-soliton solution of the {C}amassa--{H}olm equation},
   JOURNAL = {J.~Phys. Soc. Japan},
  FJOURNAL = {Journal of the Physical Society of Japan},
    VOLUME = {76},
      YEAR = {2007},
    NUMBER = {3},
     PAGES = {034003, 8~pages},
       URL = {https://doi.org/10.1143/JPSJ.76.034003},
    EPRINT = {nlin.SI/0701051},
}

@article {mckean:1998:CH-breakdown,
    AUTHOR = {McKean, Henry P.},
     TITLE = {Breakdown of a shallow water equation},
   JOURNAL = {Asian~J. Math.},
  FJOURNAL = {Asian Journal of Mathematics},
    VOLUME = {2},
      YEAR = {1998},
    NUMBER = {4},
     PAGES = {867--874},
       URL = {https://doi.org/10.4310/AJM.1998.v2.n4.a10},
}

@article {mckean:2004:CH-breakdown2,
    AUTHOR = {McKean, Henry P.},
     TITLE = {Breakdown of the {C}amassa--{H}olm equation},
   JOURNAL = {Comm. Pure Appl. Math.},
  FJOURNAL = {Communications on Pure and Applied Mathematics},
    VOLUME = {57},
      YEAR = {2004},
    NUMBER = {3},
     PAGES = {416--418},
       URL = {https://doi.org/10.1002/cpa.20003},
}

@article {molinet:2004:CH-wellposedness-survey,
    AUTHOR = {Molinet, Luc},
     TITLE = {On well-posedness results for {C}amassa--{H}olm equation on the
              line: a survey},
   JOURNAL = {J.~Nonlinear Math. Phys.},
  FJOURNAL = {Journal of Nonlinear Mathematical Physics},
    VOLUME = {11},
      YEAR = {2004},
    NUMBER = {4},
     PAGES = {521--533},
       URL = {https://doi.org/10.2991/jnmp.2004.11.4.8},
}

@article {ni-zhou:2011:novikov,
    AUTHOR = {Ni, Lidiao and Zhou, Yong},
     TITLE = {Well-posedness and persistence properties for the {N}ovikov
              equation},
   JOURNAL = {J.~Differential Equations},
  FJOURNAL = {Journal of Differential Equations},
    VOLUME = {250},
      YEAR = {2011},
    NUMBER = {7},
     PAGES = {3002--3021},
       URL = {https://doi.org/10.1016/j.jde.2011.01.030},
}

@article {novikov:2009:generalizations-of-CH,
    AUTHOR = {Novikov, Vladimir},
     TITLE = {Generalizations of the {C}amassa--{H}olm equation},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {42},
      YEAR = {2009},
    NUMBER = {34},
     PAGES = {342002, 14~pages},
       URL = {https://doi.org/10.1088/1751-8113/42/34/342002},
    EPRINT = {0905.2219},
}

@article {rodriguezblanco:2001:CH-cauchy-problem,
    AUTHOR = {Rodr\'{i}guez-Blanco, Guillermo},
     TITLE = {On the {C}auchy problem for the {C}amassa--{H}olm equation},
   JOURNAL = {Nonlinear Anal.},
  FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
              International Multidisciplinary Journal},
    VOLUME = {46},
      YEAR = {2001},
    NUMBER = {3, Ser. A: Theory Methods},
     PAGES = {309--327},
       URL = {https://doi.org/10.1016/S0362-546X(01)00791-X},
}

@mics {shuaib-lundmark:2018p:GX-noninterlacing,
    AUTHOR = {Shuaib, B. and Lundmark, H.},
     TITLE = {Non-interlacing peakon solutions of the {G}eng--{X}ue equation},
    EPRINT = {1812.09173},
}

@article {szmigielski-zhou:2013:DP-colliding-peakons-shock-formation,
    AUTHOR = {Szmigielski, Jacek and Zhou, Lingjun},
     TITLE = {Colliding peakons and the formation of shocks in the
              {D}egasperis--{P}rocesi equation},
   JOURNAL = {Proc.~R. Soc. Lond. Ser.~A Math. Phys. Eng. Sci.},
  FJOURNAL = {Proceedings of The Royal Society of London. Series A.
              Mathematical, Physical and Engineering Sciences},
    VOLUME = {469},
      YEAR = {2013},
    NUMBER = {2158},
     PAGES = {20130379, 19~pages},
       URL = {https://doi.org/10.1098/rspa.2013.0379},
    EPRINT = {1302.1377},
}

@incollection {szmigielski-zhou:2013:DP-peakon-antipeakon,
    AUTHOR = {Szmigielski, Jacek and Zhou, Lingjun},
     TITLE = {Peakon-antipeakon interactions in the {D}egasperis--{P}rocesi
              equation},
 BOOKTITLE = {Algebraic and Geometric Aspects of Integrable Systems and
              Random Matrices},
    SERIES = {Contemp. Math.},
    VOLUME = {593},
     PAGES = {83--107},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2013},
       URL = {https://doi.org/10.1090/conm/593/11873},
    EPRINT = {1301.0171},
}

@article {tiglay:2011:novikov-periodic-cauchy-problem,
    AUTHOR = {T{\i}\u{g}lay, F.},
     TITLE = {The periodic {C}auchy problem for {N}ovikov's equation},
   JOURNAL = {Int. Math. Res. Not.},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
    VOLUME = {2011},
      YEAR = {2011},
    NUMBER = {20},
     PAGES = {4633--4648},
       URL = {https://doi.org/10.1093/imrn/rnq267},
    EPRINT = {1009.1820},
}

@article {wu-guo:2016:periodic-novikov-global-wellposedness,
    AUTHOR = {Wu, Xinglong and Guo, Boling},
     TITLE = {Global well-posedness for the periodic {N}ovikov equation with
              cubic nonlinearity},
   JOURNAL = {Appl. Anal.},
  FJOURNAL = {Applicable Analysis. An International Journal},
    VOLUME = {95},
      YEAR = {2016},
    NUMBER = {2},
     PAGES = {405--425},
       URL = {https://doi.org/10.1080/00036811.2015.1005611},
}

@article {wu-yin:2011:novikov-global-weak-solutions,
    AUTHOR = {Wu, Xinglong and Yin, Zhaoyang},
     TITLE = {Global weak solutions for the {N}ovikov equation},
   JOURNAL = {J.~Phys.~A: Math. Theor.},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {44},
      YEAR = {2011},
    NUMBER = {5},
     PAGES = {055202, 17~pages},
       URL = {https://doi.org/10.1088/1751-8113/44/5/055202},
}

@article {wu-yin:2012:novikov-wellposedness-global-existence,
    AUTHOR = {Wu, Xinglong and Yin, Zhaoyang},
     TITLE = {Well-posedness and global existence for the {N}ovikov
              equation},
   JOURNAL = {Ann. Sc. Norm. Super. Pisa Cl. Sci.~(5)},
  FJOURNAL = {Annali della Scuola Normale Superiore di Pisa. Classe di
              Scienze. Serie V},
    VOLUME = {11},
      YEAR = {2012},
    NUMBER = {3},
     PAGES = {707--727},
       URL = {https://doi.org/10.2422/2036-2145.201007_001},
}

@article {xin-zhang:2000:CH-weak-solutions-existence,
    AUTHOR = {Xin, Zhouping and Zhang, Ping},
     TITLE = {On the weak solutions to a shallow water equation},
   JOURNAL = {Comm. Pure Appl. Math.},
  FJOURNAL = {Communications on Pure and Applied Mathematics},
    VOLUME = {53},
      YEAR = {2000},
    NUMBER = {11},
     PAGES = {1411--1433},
       URL = {https://doi.org/10.1002/1097-0312(200011)53:11<1411::AID-CPA4>3.0.CO;2-5},
}

@article {xin-zhang:2002:CH-weak-solutions-uniqueness-large-time-behaviour,
    AUTHOR = {Xin, Zhouping and Zhang, Ping},
     TITLE = {On the uniqueness and large time behavior of the weak
              solutions to a shallow water equation},
   JOURNAL = {Comm. Partial Differential Equations},
  FJOURNAL = {Communications in Partial Differential Equations},
    VOLUME = {27},
      YEAR = {2002},
    NUMBER = {9-10},
     PAGES = {1815--1844},
       URL = {https://doi.org/10.1081/PDE-120016129},
}

@article {yan-li-zhang:2012:novikov-cauchy-problem,
    AUTHOR = {Yan, Wei and Li, Yongsheng and Zhang, Yimin},
     TITLE = {The {C}auchy problem for the integrable {N}ovikov equation},
   JOURNAL = {J.~Differential Equations},
  FJOURNAL = {Journal of Differential Equations},
    VOLUME = {253},
      YEAR = {2012},
    NUMBER = {1},
     PAGES = {298--318},
       URL = {https://doi.org/10.1016/j.jde.2012.03.015},
}

@article {yin:2003:DP-cauchy-problem:Illinois,
    AUTHOR = {Yin, Zhaoyang},
     TITLE = {On the {C}auchy problem for an integrable equation with peakon
              solutions},
   JOURNAL = {Illinois~J. Math.},
  FJOURNAL = {Illinois Journal of Mathematics},
    VOLUME = {47},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {649--666},
}

@article {zhou:2004:CH-wave-breaking,
    AUTHOR = {Zhou, Yong},
     TITLE = {Wave breaking for a shallow water equation},
   JOURNAL = {Nonlinear Anal.},
  FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
              International Multidisciplinary Journal},
    VOLUME = {57},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {137--152},
       URL = {https://doi.org/10.1016/j.na.2004.02.004},
}
