scholarly journals Asymptotics of Solutions to the Modified Nonlinear Schrödinger Equation: Solitons on a Nonvanishing Continuous Background

1999 ◽  
Vol 30 (4) ◽  
pp. 787-832 ◽  
Author(s):  
A. V. Kitaev ◽  
A. H. Vartanian
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Asymptotics Of Solutions ◽  
Nonlinear Schrödinger ◽  
Continuous Background

Scattering of solutions to the fourth-order nonlinear Schrödinger equation

2016 ◽  
Vol 18 (03) ◽  
pp. 1550035 ◽  
Author(s):  
Nakao Hayashi ◽  
Jesus A. Mendez-Navarro ◽  
Pavel I. Naumkin
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Fourth Order ◽  
Schrodinger Equation ◽  
Large Time ◽  
Nonlinear Schrodinger Equation ◽  
Asymptotics Of Solutions ◽  
Nonlinear Schrödinger ◽  
Time Asymptotics ◽  
The Cauchy Problem

We consider the Cauchy problem for the fourth-order nonlinear Schrödinger equation [Formula: see text] where [Formula: see text] [Formula: see text] We introduce the factorization for the free evolution group to prove the large time asymptotics of solutions.

Sign in / Sign up

Export Citation Format

Share Document