Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions |
| |
Authors: | Alice Mikikits-Leitner Gerald Teschl |
| |
Institution: | 1.Faculty of Mathematics,University of Vienna,Wien,Austria;2.International Erwin Schr?dinger Institute for Mathematical Physics,Wien,Austria |
| |
Abstract: | We apply the method of nonlinear steepest descent to compute the long-time asymptotics of solutions of the Korteweg-de Vries
equation which are decaying perturbations of a quasi-periodic finite-gap background solution. We compute a nonlinear dispersion
relation and show that the x/t plane splits into g+1 soliton regions which are interlaced by g + 1 oscillatory regions, where g + 1 is the number of spectral gaps. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|