Wave collapse in a class of nonlocal nonlinear Schrödinger equations

2005 ◽  
Vol 207 (3-4) ◽  
pp. 230-253 ◽  
Author(s):  
Mark Ablowitz ◽  
İlkay Bakırtaş ◽  
Boaz Ilan
Keyword(s):  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
Wave Collapse ◽  
Nonlocal Nonlinear

Collapse for the Generalized Three-Dimensional Nonlocal Nonlinear Schrödinger Equations

2014 ◽  
Vol 14 (3) ◽  
Author(s):  
Xin Jiang ◽  
Zaihui Gan
Keyword(s):  
A Priori Estimates ◽  
A Priori ◽  
Three Dimensional ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
Nonlocal Terms ◽  
Nonlocal Nonlinear

AbstractFinite time collapse of solutions to the generalized three-dimensional nonlocal nonlinear Schrödinger equations is studied. This result is achieved through establishing some a priori estimates for the nonlocal terms and by introducing a type of virial identities.

Sign in / Sign up

Export Citation Format

Share Document