On the Galilean Invariance of Some Nonlinear Dispersive Wave Equations

On the accuracy of invariant numerical schemes

(2011) Marx Chhay et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Finite volume schemes for dispersive wave propagation and runup

(2011) Denys Dutykh et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Shallow water equations for large bathymetry variations

(2011) Denys Dutykh et al.   Journal of Physics A-Mathematical and Theoretical

Practical use of variational principles for modeling water waves

(2011) Didier Clamond et al.   PHYSICA D-NONLINEAR PHENOMENA

The kinematics and stability of solitary and cnoidal wave solutions of the Serre equations

(2010) John D. Carter et al.   EUROPEAN JOURNAL OF MECHANICS B-FLUIDS

Comparison of some Lie-symmetry-based integrators

(2010) M. Chhay et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical solution of Boussinesq systems of the Bona–Smith family

(2009) D.C. Antonopoulos et al.   APPLIED NUMERICAL MATHEMATICS

Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation

(2009) David Lannes et al.   PHYSICS OF FLUIDS

Invariantization of the Crank–Nicolson method for Burgers’ equation

(2007) Pilwon Kim   PHYSICA D-NONLINEAR PHENOMENA