scholarly journals Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data

2011 ◽  
Author(s):  
P. Deift ◽  
J. Park
Keyword(s):  
Initial Data ◽  
Nls Equation ◽  
Delta Potential ◽  
Time Asymptotics ◽  
Long Time ◽  
Long Time Asymptotics

scholarly journals LONG-TIME ASYMPTOTICS OF THE TODA LATTICE FOR DECAYING INITIAL DATA REVISITED

2009 ◽  
Vol 21 (01) ◽  
pp. 61-109 ◽  
Author(s):  
HELGE KRÜGER ◽  
GERALD TESCHL
Keyword(s):  
Initial Data ◽  
Toda Lattice ◽  
Steepest Descent ◽  
Time Asymptotics ◽  
Long Time ◽  
Long Time Asymptotics ◽  
Nonlinear Steepest Descent

The purpose of this article is to give a streamlined and self-contained treatment of the long-time asymptotics of the Toda lattice for decaying initial data in the soliton and in the similarity region via the method of nonlinear steepest descent.

scholarly journals Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data

Nonlinearity ◽  
2013 ◽  
Vol 26 (7) ◽  
pp. 1839-1864 ◽  
Author(s):  
Iryna Egorova ◽  
Zoya Gladka ◽  
Volodymyr Kotlyarov ◽  
Gerald Teschl
Keyword(s):  
Initial Data ◽  
Vries Equation ◽  
Time Asymptotics ◽  
De Vries ◽  
Long Time ◽  
Long Time Asymptotics
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