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Beschreibung
The presence of solitons in bose-einstein condensates can be studied using nonlinear partial differential equation called the gross-pitaevskii equation. An analytical technique using darboux transformation with the lax technique is attempted. The best possible numerical technique among the split-step fourier method, crank nicolson finite difference method and the split-step crank nicolson method was analysed based on the merits and demerits of each method. Finally after both an analytical and numerical analysis of the gross-pitaevskii equation, the ideal conditions for the formation of various types of solitons were identified.
Analytical And Numerical Solution To The Gross-Pitaevskii Equation (a Nonlinear Partial Differential Equation)
Details
| Verlag | Scholars' Press |
| Ersterscheinung | 16. Oktober 2014 |
| Maße | 22 cm x 15 cm x 1.1 cm |
| Gewicht | 274 Gramm |
| Format | Softcover |
| ISBN-13 | 9783639666557 |
| Seiten | 172 |