@article {2012,
	title = {Numerical study of the small dispersion limit of the Korteweg-de Vries  equation and asymptotic solutions},
	journal = {Physica D 241, nr. 23-24 (2012):  2246-2264},
	number = {arXiv:1202.0962;},
	year = {2012},
	publisher = {Elsevier},
	abstract = {We study numerically the small dispersion limit for the Korteweg-de Vries
(KdV) equation $u_t+6uu_x+\epsilon^{2}u_{xxx}=0$ for $\epsilon\ll1$ and give a
quantitative comparison of the numerical solution with various asymptotic
formulae for small $\epsilon$ in the whole $(x,t)$-plane. The matching of the
asymptotic solutions is studied numerically.},
	keywords = {Korteweg-de Vries equation},
	doi = {10.1016/j.physd.2012.04.001},
	author = {Tamara Grava and Christian Klein}
}
