Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear
  Steepest Descent

AB Šabat; AM Budylin; AR Its; AR Its; AR Its; AR Its; CS Gardner; Gerald Teschl; GG Varzugin; H Krüger; H Krüger; H Segur; Katrin Grunert; M Klaus; M Wadati; MJ Ablowitz; MJ Ablowitz; NI Muskhelishvili; NJ Zabusky; P Deift; P Deift; P Deift; P Deift; P Deift; P Deift; P Schuur; PA Deift; R Beals; R Hirota; S Tanaka; S Tanaka; SV Manakov; VA Marchenko; VE Zakharov; VS Buslaev; VS Buslaev; W Eckhaus; W Eckhaus; X Zhou

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Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent

Authors: AB Šabat
AM Budylin
AR Its
AR Its
AR Its
AR Its
CS Gardner
Gerald Teschl
GG Varzugin
H Krüger
H Krüger
H Segur
Katrin Grunert
M Klaus
M Wadati
MJ Ablowitz
MJ Ablowitz
NI Muskhelishvili
NJ Zabusky
P Deift
P Deift
P Deift
P Deift
P Deift
P Deift
P Schuur
PA Deift
R Beals
R Hirota
S Tanaka
S Tanaka
SV Manakov
VA Marchenko
VE Zakharov
VS Buslaev
VS Buslaev
W Eckhaus
W Eckhaus
X Zhou
Publication date: 1 January 2008
Publisher: 'Springer Science and Business Media LLC'
Doi

Abstract

We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg-de Vries equation for decaying initial data in the soliton and similarity region. This paper can be viewed as an expository introduction to this method.Comment: 31 page

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