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Forced nonlinear Schrödinger equation with arbitrary nonlinearity

Cooper, Fred; KHARE, AVINASH; Quintero, Niurka R.; Mertens, Franz G.; Saxena, Avadh (American Physical Society, 2012-04)

We consider the nonlinear Schrödinger equation (NLSE) in 1+1 dimension with scalar-scalar self-interaction g 2 κ + 1 ( ψ ☆ ψ ) κ + 1 in the presence of the external forcing terms of the form r e − i ( k x + θ ) − δ ψ . We ...
Nonlinear Dirac equation solitary waves in external fields

Mertens, Franz G.; Quintero, Niurka R.; Cooper, Fred; KHARE, AVINASH; Saxena, Avadh (American Physical Society, 2012-10)

We consider nonlinear Dirac equations (NLDE's) in the 1+1 dimension with scalar-scalar self-interaction g 2 κ + 1 ( ¯¯¯ Ψ Ψ ) κ + 1 in the presence of various external electromagnetic fields. We find exact solutions for ...
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity

Shao, Sihong; Quintero, Niurka R.; Mertens, Franz G.; Cooper, Fred; KHARE, AVINASH; Saxena, Avadh (American Physical Society, 2014-09)

We consider the nonlinear Dirac equation in 1 + 1 dimension with scalar-scalar self interaction g 2 κ + 1 ( ¯¯¯ Ψ Ψ ) κ + 1 and with mass m . Using the exact analytic form for rest frame solitary waves of the form Ψ ( x , ...

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