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Volumn 69, Issue 4, 2004, Pages

Formation of shock waves in a Bose-Einstein condensate

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; APPROXIMATION THEORY; COMPUTER SIMULATION; HARMONIC GENERATION; HYDRODYNAMICS; LASER BEAMS; NONLINEAR EQUATIONS; PARAMETER ESTIMATION; PHOTONS; SHOCK WAVES;

EID: 2942593912     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.69.043610     Document Type: Article
Times cited : (111)

References (34)
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    • We use the Bulirsch-Stoer method [21] in a grid basis for integration of Eq. (1). Such an approach can not correctly describe shock propagation since it calculates derivatives across a shock wave front. We have performed numerical simulations of Eq. (1) without and with the QP term. In the first case the method produced results not converging on arbitrarily large grid - as expected from Eqs. (6)-(15) shocks have appeared in the numerical solution. Conversely, the results of calculations with the QP term where perfectly converged indicating that shocks were absent in the solution of Eq. (1) with the QP term. We have also performed the same calculation in the appropriately truncated Fourier basis to avoid potential problems with calculation of derivatives. As expected, the results were the same as those obtained on a grid for large enough size of the Fourier basis.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.