@inbook{33ca279039ee4b0c88c8a3e77a4f7963,
title = "Hydrodynamic and optical waves: A common approach for unidimensional propagation",
abstract = "The aim of this chapter is to build a bridge between water and optical waves. After a brief introduction on the role played by the so-called normal variable in the D{\textquoteright}Alembert equation and a short description of the Hamiltonian formulation of water waves, we introduce a similar formalism for describing optical waves. We restrict our analysis to one-dimensional propagation. Under a number of assumptions, we rewrite the Maxwell equations in a very general form that account for three- and four-wave interactions. Those equations are very similar to the one describing water waves. Analogies and differences between hydrodynamic and optical waves are also discussed.",
author = "Miguel Onorato and Fabio Baronio and Matteo Conforti and Amin Chabchoub and Pierre Suret and Stephane Randoux",
year = "2016",
doi = "10.1007/978-3-319-39214-1_1",
language = "English",
isbn = "978-3-319-39212-7",
volume = "926",
series = "Lecture Notes in Physics",
pages = "1--22",
editor = "Miguel Onorato and Stefania Resitori and Fabio Baronio",
booktitle = "Rogue and shock waves in nonlinear dispersive media",
}