On a class of nonlocal nonlinear Schrödinger equations and wave collapse

2007 ◽  
Vol 147 (1) ◽  
pp. 343-362 ◽  
Author(s):  
M. Ablowitz ◽  
I. Bakirtas ◽  
B. 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.

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