Browsing by Author "Bishop, Alan R."
Now showing items 1-9 of 9
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Article
Existence of bound states of a polaron with a breather in soft potentials
(2006)We consider polarons in models of coupled electronic and vibrational degrees of freedom, in the presence of a soft nonlinear ...
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Generalized traveling-wave method, variational approach, and modified conserved quantities for the perturbed nonlinear Schrödinger equation.
(2010)The generalized traveling wave method (GTWM) is developed for the nonlinear Schrödinger equation (NLSE) with general ...
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Article
Nonlinear Dirac equation solitary waves under a spinor force with different components
(IOP, 2017)We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar selfinteraction in the presence of ...
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Nonlinear Schrödinger equation with spatiotemporal perturbations
(2010)We investigate the dynamics of solitons of the cubic nonlinear Schrödinger equation (NLSE) with the following perturbations: ...
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Nonlinear Schrödinger solitons oscillate under a constant external force
(2013)We investigate the dynamics of solitons of the cubic nonlinear Schrödinger equation with an external time-independent force ...
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Refined empirical stability criterion for nonlinear Schrödinger solitons under spatiotemporal forcing
(2011-08-25)We investigate the dynamics of traveling oscillating solitons of the cubic nonlinear Schrödinger (NLS) equation under an ...
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Soliton dynamics in optical fibers using the generalized traveling-wave method
(American Physical Society, 2016-04-21)The generalized traveling wave method (GTWM) is applied to the nonlinear Schrödinger (NLS) equation with general perturbations ...
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Soliton stability criterion for generalized nonlinear Schrödinger equations
(American Physical Society, 2015)A stability criterion for solitons of the driven nonlinear Schrödinger equation (NLSE) has been conjectured. The criterion ...
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Speed-of-light pulses in the massless nonlinear Dirac equation with a potential
(American Physical Society, 2017)We consider the massless nonlinear Dirac (NLD) equation in 1+1 dimension with scalar scalar self-interaction g² ̸ 2 (ψ ...