
doi: 10.1063/1.861774
A numerical solution of the damped nonlinear Schrödinger equation is compared to analytical predictions that assume invariance of the soliton shape. The agreement is fair for the damping laws of the form γk∞‖k‖b. Good agreement is found for γk∞k2, and this case is studied analytically including second order effects of the damping.
Schrödinger operator, Schrödinger equation, Numerical methods for partial differential equations, boundary value problems, Numerical methods for integral equations, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
Schrödinger operator, Schrödinger equation, Numerical methods for partial differential equations, boundary value problems, Numerical methods for integral equations, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
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