@book {BFbook,
    AUTHOR = {Byrd, Paul F. and Friedman, Morris D.},
     TITLE = {Handbook of elliptic integrals for engineers and scientists},
    SERIES = {Grundlehren Math. Wiss.},
    VOLUME = {67},
   EDITION = {Second},
 PUBLISHER = {Springer, New York},
      YEAR = {1971},
     PAGES = {xvi+358},
       DOI = {10.1007/978-3-642-65138-0},
       URL = {https://doi.org/10.1007/978-3-642-65138-0},
}

@article {BT14,
    AUTHOR = {Bertola, M. and Tovbis, A.},
     TITLE = {Meromorphic differentials with imaginary periods on
              degenerating hyperelliptic curves},
   JOURNAL = {Anal. Math. Phys.},
  FJOURNAL = {Analysis and Mathematical Physics},
    VOLUME = {5},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {1--22},
       DOI = {10.1007/s13324-014-0088-7},
       URL = {https://doi.org/10.1007/s13324-014-0088-7},
}

@article {CERT,
    AUTHOR = {Congy, T. and El, Gennady A. and Roberti, G. and Tovbis, A.},
     TITLE = {Dispersive hydrodynamics of soliton condensates for the
              {K}orteweg--de {V}ries equation},
   JOURNAL = {J.~Nonlinear Sci.},
  FJOURNAL = {Journal of Nonlinear Science},
    VOLUME = {33},
      YEAR = {2023},
    NUMBER = {6},
     PAGES = {104, 45~pages},
       DOI = {10.1007/s00332-023-09940-y},
       URL = {https://doi.org/10.1007/s00332-023-09940-y},
    EPRINT = {2208.04472},
}

@article {CERTRS,
    AUTHOR = {Congy, T. and El, Gennady A. and Roberti, G. and Tovbis, A. and
              Randoux, S. and Suret, P.},
     TITLE = {Statistics of extreme events in integrable turbulence},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {132},
      YEAR = {2024},
    NUMBER = {20},
     PAGES = {207201, 7~pages},
       DOI = {10.1103/physrevlett.132.207201},
       URL = {https://doi.org/10.1103/physrevlett.132.207201},
    EPRINT = {2307.08884},
}

@book {DafBook,
    AUTHOR = {Dafermos, Constantine M.},
     TITLE = {Hyperbolic conservation laws in continuum physics},
    SERIES = {Grundlehren Math. Wiss.},
    VOLUME = {325},
   EDITION = {Third},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2010},
     PAGES = {xxxvi+708},
       DOI = {10.1007/978-3-642-04048-1},
       URL = {https://doi.org/10.1007/978-3-642-04048-1},
}

@article {DDKY2017,
    AUTHOR = {Doyon, Benjamin and Dubail, J\'er\^ome and and Konik, Robert
              and Yoshimura, Takato},
     TITLE = {Large-scale description of interacting one-dimensional bose
              gases: generalized hydrodynamics supersedes conventional
              hydrodynamics},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {119},
      YEAR = {2017},
    NUMBER = {19},
     PAGES = {195301, 7~pages},
       DOI = {10.1103/PhysRevLett.119.195301},
       URL = {https://doi.org/10.1103/PhysRevLett.119.195301},
    EPRINT = {1704.04151},
}

@article {El2003,
    AUTHOR = {El, Gennady A.},
     TITLE = {The thermodynamic limit of the {W}hitham equations},
   JOURNAL = {Phys. Lett.~A},
  FJOURNAL = {Physics Letters. A},
    VOLUME = {311},
      YEAR = {2003},
    NUMBER = {4-5},
     PAGES = {374--383},
       DOI = {10.1016/S0375-9601(03)00515-2},
       URL = {https://doi.org/10.1016/S0375-9601(03)00515-2},
    EPRINT = {nlin.SI/0310014},
}

@article {ElRew1,
    AUTHOR = {El, Gennady A.},
     TITLE = {Soliton gas in integrable dispersive hydrodynamics},
   JOURNAL = {J.~Stat. Mech. Theory Exp.},
  FJOURNAL = {Journal of Statistical Mechanics: Theory and Experiment},
    VOLUME = {2021},
      YEAR = {2021},
    NUMBER = {11},
     PAGES = {114001, 69~pages},
       DOI = {10.1088/1742-5468/ac0f6d},
       URL = {https://doi.org/10.1088/1742-5468/ac0f6d},
    EPRINT = {2104.05812},
}

@article {ET2020,
    AUTHOR = {El, Gennady A. and Tovbis, Alexander},
     TITLE = {Spectral theory of soliton and breather gases for the focusing
              nonlinear {S}chr\"odinger equation},
   JOURNAL = {Phys. Rev.~E},
  FJOURNAL = {Physical Review E},
    VOLUME = {101},
      YEAR = {2020},
    NUMBER = {5},
     PAGES = {052207, 21~pages},
       DOI = {10.1103/PhysRevE.101.052207},
       URL = {https://doi.org/10.1103/PhysRevE.101.052207},
    EPRINT = {1910.05732},
}

@article {FFM,
    AUTHOR = {Flaschka, H. and Forest, M. G. and McLaughlin, D. W.},
     TITLE = {Multiphase averaging and the inverse spectral solution of the
              {K}orteweg--de {V}ries equation},
   JOURNAL = {Comm. Pure Appl. Math.},
  FJOURNAL = {Communications on Pure and Applied Mathematics},
    VOLUME = {33},
      YEAR = {1980},
    NUMBER = {6},
     PAGES = {739--784},
       DOI = {10.1002/cpa.3160330605},
       URL = {https://doi.org/10.1002/cpa.3160330605},
}

@incollection {ForLee,
    AUTHOR = {Forest, M. Gregory and Lee, Jong-Eao},
     TITLE = {Geometry and modulation theory for the periodic nonlinear
              {S}chr\"odinger equation},
 BOOKTITLE = {Oscillation Theory, Computation, and Methods of Compensated
              Compactness ({M}inneapolis, {M}inn., 1985)},
    SERIES = {IMA Vol. Math. Appl.},
    VOLUME = {2},
     PAGES = {35--69},
 PUBLISHER = {Springer, New York},
      YEAR = {1986},
       DOI = {10.1007/978-1-4613-8689-6_3},
       URL = {https://doi.org/10.1007/978-1-4613-8689-6_3},
}

@article {GP,
    AUTHOR = {Gurevich, A. V. and Pitaevskii, L. P.},
     TITLE = {Nonstationary structure of a collisionless shock wave},
   JOURNAL = {Sov. Phys. JETP},
  FJOURNAL = {Soviet Journal of Experimental and Theoretical Physics},
    VOLUME = {38},
      YEAR = {1974},
    NUMBER = {2},
     PAGES = {291--297},
}

@article {KT2021,
    AUTHOR = {Kuijlaars, Arno and Tovbis, Alexander},
     TITLE = {On minimal energy solutions to certain classes of integral
              equations related to soliton gases for integrable systems},
   JOURNAL = {Nonlinearity},
  FJOURNAL = {Nonlinearity},
    VOLUME = {34},
      YEAR = {2021},
    NUMBER = {10},
     PAGES = {7227--7254},
       DOI = {10.1088/1361-6544/ac20a5},
       URL = {https://doi.org/10.1088/1361-6544/ac20a5},
    EPRINT = {2101.03964},
}

@article {LL83,
    AUTHOR = {Lax, Peter D. and Levermore, C. David},
     TITLE = {The small dispersion limit of the {K}orteweg--de {V}ries
              equation.~{II}},
   JOURNAL = {Comm. Pure Appl. Math.},
  FJOURNAL = {Communications on Pure and Applied Mathematics},
    VOLUME = {36},
      YEAR = {1983},
    NUMBER = {5},
     PAGES = {571--593},
       DOI = {10.1002/cpa.3160360503},
       URL = {https://doi.org/10.1002/cpa.3160360503},
}

@book {ST,
    AUTHOR = {Saff, Edward B. and Totik, Vilmos},
     TITLE = {Logarithmic potentials with external fields},
    SERIES = {Grundlehren Math. Wiss.},
    VOLUME = {316},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1997},
     PAGES = {xvi+505},
       DOI = {10.1007/978-3-662-03329-6},
       URL = {https://doi.org/10.1007/978-3-662-03329-6},
}

@article {TW,
    AUTHOR = {Tovbis, Alexander and Wang, Fudong},
     TITLE = {Recent developments in spectral theory of the focusing {NLS}
              soliton and breather gases: the thermodynamic limit of average
              densities, fluxes and certain meromorphic differentials;
              periodic gases},
   JOURNAL = {J.~Phys.~A},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {55},
      YEAR = {2022},
    NUMBER = {42},
     PAGES = {424006, 50~pages},
       DOI = {10.1088/1751-8121/ac97d0},
       URL = {https://doi.org/10.1088/1751-8121/ac97d0},
    EPRINT = {2203.03566},
}

@article {Wadati,
    AUTHOR = {Wadati, Miki and Sanuki, Heiji and Konno, Kimiaki},
     TITLE = {Relationships among inverse method, {B}\"acklund transformation
              and an infinite number of conservation laws},
   JOURNAL = {Progr. Theoret. Phys.},
  FJOURNAL = {Progress of Theoretical Physics},
    VOLUME = {53},
      YEAR = {1975},
     PAGES = {419--436},
       DOI = {10.1143/PTP.53.419},
       URL = {https://doi.org/10.1143/PTP.53.419},
}

@article {Za71,
    AUTHOR = {Zakharov, V. E.},
     TITLE = {Kinetic equation for solitons},
   JOURNAL = {Sov. Phys. JETP},
  FJOURNAL = {Soviet Journal of Experimental and Theoretical Physics,},
    VOLUME = {33},
      YEAR = {1971},
    NUMBER = {3},
     PAGES = {538--541},
}
