@book {Lannes,
AUTHOR = {Lannes, David},
TITLE = {The Water Waves Problem: Mathematical Analysis and Asymptotics},
SERIES = {Mathematical Surveys and Monographs},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2013},
ISBN = {9780821894705},
}


@article {HJ2,
AUTHOR = {Hur, Vera Mikyoung and Johnson, Mathew A.},
TITLE = {Modulational instability in the {W}hitham equation for water waves},
JOURNAL = {Stud. Appl. Math.},
FJOURNAL = {Studies in Applied Mathematics},
VOLUME = {134},
YEAR = {2015},
NUMBER = {1},
PAGES = {120--143},
ISSN = {0022-2526},
MRCLASS = {35Q53 (35B10 35C07)},
MRNUMBER = {3298879},
MRREVIEWER = {Thierry Cazenave},
}

@article {BF,
AUTHOR = {Benjamin, T. B. and Feir, J. E.},
TITLE = {The disintegration of wave trains on deep water. {P}art 1. {T}heory},
JOURNAL = {J. Fluid Mech.},
FJOURNAL = {Journal of Fluid Mechanics},
VOLUME = {27},
YEAR = {1967},
NUMBER = {3},
PAGES = {417--437},
ISSN = {0022-1120},
}

@article{Benjamin1967,
AUTHOR={Benjamin, T. Brooke and Hasselmann, K},
TITLE={Instability of Periodic Wavetrains in Nonlinear Dispersive Systems [and Discussion]},
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={299},
YEAR={1967},
NUMBER={1456},
PAGES={59--76},
ISSN = {1364-5021}
}

@article {HJ3,
AUTHOR = {Hur, Vera Mikyoung and Johnson, Mathew A.},
TITLE = {Modulational instability in the {W}hitham equation with surface tension and vorticity},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods},
VOLUME = {129},
YEAR = {2015},
PAGES = {104--118},
ISSN = {0362-546X},
MRCLASS = {Preliminary Data},
MRNUMBER = {3414922},
}

@article{HP2,
AUTHOR={Hur, Vera Mikyoung and Pandey, Ashish Kumar},
TITLE={Modulational instability in a shallow water model},
JOURNAL={Preprint},
PAGES={1608.04685},
YEAR={2016}
}

@incollection{BHJ,
AUTHOR={Bronski, Jared C. and Hur, Vera Mikyoung and Johnson, Mathew A.},
TITLE={Modulational instability in equations of {K}d{V} type},
BOOKTITLE={New Approaches to Nonlinear Waves},
EDITORS={Tobiscnh, Elena},
SERIES={Lecture Notes in Physics},
VOLUME={908},
YEAR={2016},
PAGES={83--133},
PUBLISHER={Springer International Publishing},
ADDRESS={Berlin, Germany}
}

@book {K,
    AUTHOR = {Kato, Tosio},
     TITLE = {Perturbation theory for linear operators},
   EDITION = {Second},
      NOTE = {Grundlehren der Mathematischen Wissenschaften, Band 132},
 PUBLISHER = {Springer-Verlag, Berlin-New York},
      YEAR = {1976},
     PAGES = {xxi+619},
   MRCLASS = {47-XX},
  MRNUMBER = {0407617 (53 \#11389)},
}

@article{Hur-blowup,
AUTHOR = {Hur, Vera Mikyoung},
TITLE = {On the formation of singularities for surface water waves},
JOURNAL = {Commun. Pure Appl. Anal.},
FJOURNAL = {Communications on Pure and Applied Analysis},
VOLUME = {11},
YEAR = {2012},
NUMBER = {4},
PAGES = {1465--1474},
ISSN = {1534-0392},
MRCLASS = {35R11 (35B44 35Q53 35R37 76B15)},
MRNUMBER = {2900797},
MRREVIEWER = {Francesco Petitta},
}

@article{Hur-breaking,
AUTHOR = {Hur, Vera Mikyoung},
TITLE={Wave breaking in the {W}hitham equation for shallow water},
JOURNAL={Preprint},
PAGES={arxiv:1506.04075},
YEAR={2015}
}

@article{BJ1,
AUTHOR = {Bronski, Jared C. and Johnson, Mathew A.},
TITLE = {The modulational instability for a generalized {K}orteweg-de {V}ries equation},
JOURNAL = {Arch. Ration. Mech. Anal.},
FJOURNAL = {Archive for Rational Mechanics and Analysis},
VOLUME = {197},
YEAR = {2010},
NUMBER = {2},
PAGES = {357--400},
ISSN = {0003-9527},
MRCLASS = {35Q53 (35B10 35B35 35C07 76B25)},
MRNUMBER = {2660515 (2012f:35456)},
MRREVIEWER = {John Albert},
}
