Model Derivation on a Globally Flat Space

Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova, Oleg Gusev

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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 ‘pioneers’—F. Serre, C.C. Mei and Le Méhauté 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.

Original languageBritish English
Title of host publicationLecture Notes in Geosystems Mathematics and Computing
PublisherSpringer Nature
Number of pages43
StatePublished - 2020

Publication series

NameLecture Notes in Geosystems Mathematics and Computing
ISSN (Electronic)2512-3211


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