Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Rigorous derivation of weakly dispersive shallow‐water models with large amplitude topography variations

Louis Emerald and Martin Oen Paulsen
Studies in Applied Mathematics (2024)

The Boussinesq systems on the background of a line solitary wave

Hung Luong and Jean-Claude Saut
Discrete and Continuous Dynamical Systems (2022)

Mathematical modeling and numerical analysis for the higher order Boussinesq system

Bashar Khorbatly, Ralph Lteif, Samer Israwi and Stéphane Gerbi
ESAIM: Mathematical Modelling and Numerical Analysis 56 (2) 593 (2022)

Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography

G. Kounadis, D.C. Antonopoulos and V.A. Dougalis
Wave Motion 102 102715 (2021)

Dispersive Shallow Water Waves

Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova and Oleg Gusev
Lecture Notes in Geosystems Mathematics and Computing, Dispersive Shallow Water Waves 45 (2020)

The Cauchy Problem on Large Time for Surface-Waves-Type Boussinesq Systems II

Jean-Claude Saut, Chao Wang and Li Xu
SIAM Journal on Mathematical Analysis 49 (4) 2321 (2017)

Shallow water asymptotic models for the propagation of internal waves

Vincent Duchêne, Samer Israwi and Raafat Talhouk
Discrete & Continuous Dynamical Systems - S 7 (2) 239 (2014)

Water waves over a rough bottom in the shallow water regime

Walter Craig, David Lannes and Catherine Sulem
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 29 (2) 233 (2012)

Rigorous description of macroscopic wave packets in infinite periodic chains of coupled oscillators by modulation equations

Martina Chirilus-Bruckner, Christopher Chong, Oskar Prill and Guido Schneider
Discrete & Continuous Dynamical Systems - S 5 (5) 879 (2012)

Step Soliton Generalized Solutions of the Shallow Water Equations

A. C. Alvarez, A. Meril and B. Valiño-Alonso
Journal of Applied Mathematics 2012 1 (2012)

The validity of the KdV approximation in case of resonances arising from periodic media

Christopher Chong and Guido Schneider
Journal of Mathematical Analysis and Applications 383 (2) 330 (2011)

Asymptotic Shallow Water Models for Internal Waves in a Two-Fluid System with a Free Surface

Vincent Duchêne
SIAM Journal on Mathematical Analysis 42 (5) 2229 (2010)

Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves

D.E. Mitsotakis
Mathematics and Computers in Simulation 80 (4) 860 (2009)

A double-layer Boussinesq-type model for highly nonlinear and dispersive waves

F. Chazel, M. Benoit, A. Ern and S. Piperno
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465 (2108) 2319 (2009)

Long wave expansions for water waves over random topography

Anne de Bouard, Walter Craig, Oliver Díaz-Espinosa, Philippe Guyenne and Catherine Sulem
Nonlinearity 21 (9) 2143 (2008)