We apply the Adomian decomposition method to the one-dimensional time-dependent Gross-Pitaevskii equation, which describes the evolution of bright solitons. We investigate the behaviour of the error in the solutions obtained by the Adominan method and make a comparison with the exact solution. We obtain a formula for the error as a function of time and the number of Adomian polynomials used.
- Gross-Pitaevskii equation
- Numerical methods
- Solitary wave solutions
ASJC Scopus subject areas
- Computer Science Applications
- Computational Theory and Mathematics
- Applied Mathematics