A new two-component system modelling shallow-water waves
Mathematical Physics
2013-05-23 v1 Analysis of PDEs
math.MP
Fluid Dynamics
Abstract
For propagation of surface shallow-water waves on irrotational flows, we derive a new two-component system. The system is obtained by a variational approach in the Lagrangian formalism. The system has a non-canonical Hamiltonian formulation. We also find its exact solitary-wave solutions.
Cite
@article{arxiv.1305.5045,
title = {A new two-component system modelling shallow-water waves},
author = {Delia Ionescu-Kruse},
journal= {arXiv preprint arXiv:1305.5045},
year = {2013}
}
Comments
to appear in Quart. Appl. Math