Title
The Riemann-Hilbert problem and long-time asymptotics for the Kundu-Eckhaus equation with decaying initial value.
Abstract
We present a Riemann–Hilbert problem formalism for the initial value problem of the Kundu–Eckhaus equation on the line. The long-time asymptotic for the solutions of the Kundu–Eckhaus equation is further analyzed via the Deift–Zhou nonlinear steepest descent method.
Year
DOI
Venue
2018
10.1016/j.aml.2017.08.006
Applied Mathematics Letters
Keywords
Field
DocType
Kundu–Eckhaus equation,Initial value problem,Deift–Zhou nonlinear steepest descent method,Riemann–Hilbert problem,Long-time asymptotic
Mathematical optimization,Nonlinear system,Method of steepest descent,Mathematical analysis,Riemann–Hilbert problem,Initial value problem,Formalism (philosophy),Asymptotic analysis,Mathematics
Journal
Volume
ISSN
Citations 
76
0893-9659
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
Qiaozhen Zhu100.34
Jian Xu222455.55
Engui Fan37229.41