TY - JOUR
T1 - Numerical study of the small dispersion limit of the Korteweg-de Vries equation and asymptotic solutions
JF - Physica D 241, nr. 23-24 (2012): 2246-2264
Y1 - 2012
A1 - Tamara Grava
A1 - Christian Klein
KW - Korteweg-de Vries equation
AB - 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.
PB - Elsevier
U1 - 7069
U2 - Physics
U4 - -1
ER -