Theoretical Investigation Of Solitons In Bose-einstein Condensates - Analytical And Numerical Solution To The Gross-Pitaevskii Equation (a Nonlinear Partial Differential Equation)

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.

Info autore

Gayathree Mohan, PhD: Studied Nonlinear Dynamics at Anna University, Taught Mathematical Physics,Quantum Mechanics, Statistical Mechanics and Solid State Physics at the Post Graduate Level,Thermodynamics and Electromagnetic Theory at the Graduate Level

Dettagli sul prodotto

• Autori: Gayathree Mohan
• Editore: Scholar's Press
• Lingue: Inglese, Tedesco
• Formato: Tascabile
• Pubblicazione: 01.01.2014
• EAN: 9783639666557
• ISBN: 978-3-639-66655-7
• Pagine: 172
• Categoria: Scienze naturali, medicina, informatica, tecnica > Fisica, astronomia > Fisica teorica