Solution of the Nonlinear Schrodinger Equation with Defocusing Strength Nonlinearities Through the Laplace-Adomian Decomposition Method
arXiv:1801.00809 · doi:10.1007/s40819-017-0325-5
Abstract
In this work we apply the Adomian decomposition method combined with the Laplace transform (LADM) in order to solve the 1-dimensional nonlinear Schrodinger equation whose nonlinear term presents a nonlinear defocusing strength that varies in the spatial direction. The suggested iterative scheme (LADM) finds the solution without any discretization, linearization or restrictive assumptions. Finally, three numerical examples are presented to demonstrate the reliability and accuracy of the method.
References in corpus (7)
- Many-Body Physics with Ultracold Gases
- Feshbach Resonances in Ultracold Gases
- Solitons in nonlinear lattices
- Influence of nearly resonant light on the scattering length in low-temperature atomic gases
- Bright solitons from defocusing nonlinearities
- Asymptotic solutions to the Gross-Pitaevskii gain equation: growth of a Bose-Einstein condensate
- Generation and evolution of vortex-antivortex pairs in Bose-Einstein condensates