Bound States of 2-D Nonlinear Schrödinger Equations with Potentials Tending to Zero at Infinity

2013 ◽  
Vol 45 (4) ◽  
pp. 2299-2331 ◽  
Author(s):  
Mingwen Fei ◽  
Huicheng Yin
Keyword(s):  
Bound States ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations

Bound States of Envelope Solitons in Coupled Nonlinear Schrödinger Equations

1997 ◽  
Vol 06 (01) ◽  
pp. 49-53 ◽  
Author(s):  
M. F. Mahmood ◽  
W. W. Zachary ◽  
T. L. Gill
Keyword(s):  
Bound States ◽  
Hamiltonian Formulation ◽  
Bound State ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Coupled Nonlinear Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
Coupled Nonlinear Schrodinger Equations

Interaction of strongly and weakly overlapping solitons of two independent modes is analyzed in the framework of a system of coupled nonlinear Schrödinger equations with oscillating terms. A Hamiltonian formulation is employed. Our analysis reveals that the solitons form a strongly bound state with their centers coincident and weakly bound states with their centers separated from each other.

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