@inbook{ef017ee182624e5386bf13c49994711b,

title = "Model Derivation on a Globally Flat Space",

abstract = "The history of nonlinear dispersive modelling goes back to the end of the nineteenth century. At that time J. Boussinesq proposed the celebrated Korteweg–de Vries (KdV) equation, re-derived later by D. Korteweg and G. de Vries. Of course, J. Boussinesq proposed also the first Boussinesq-type equation as a theoretical explanation of solitary waves observed earlier by J. Russell. After this initial active period there was a break in this field until 1950s. The silence was interrupted by the new generation of {\textquoteleft}pioneers{\textquoteright}—F. Serre, C.C. Mei and Le M{\'e}haut{\'e} and D. Peregrine who derived modern nonlinear dispersive wave models. After this time the modern period started, which can be characterized by the proliferation of journal publications and it is much more difficult to keep track of these records.",

author = "Gayaz Khakimzyanov and Denys Dutykh and Zinaida Fedotova and Oleg Gusev",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",

year = "2020",

doi = "10.1007/978-3-030-46267-3_1",

language = "British English",

series = "Lecture Notes in Geosystems Mathematics and Computing",

publisher = "Springer Nature",

pages = "1--43",

booktitle = "Lecture Notes in Geosystems Mathematics and Computing",

address = "United States",

}