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Volumn 2010, Issue , 2010, Pages 1-10

Special solutions of the riccati equation with applications to the gross-pitaevskii nonlinear PDE

Author keywords

Chirp function; Riccati equation; Solutions to gross pitaevskii equation

Indexed keywords


EID: 77955461343     PISSN: None     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (22)

References (23)
  • 1
    • 33646794052 scopus 로고    scopus 로고
    • Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation
    • 056611
    • Atre, R., Panigrahi, P. K., and Agarwal, G. S.; Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation, Phys. Rev. E (3) 73 (2006), no. 5, 056611, 5 pp.
    • (2006) Phys. Rev. E (3) , vol.73 , Issue.5 , pp. 5
    • Atre, R.1    Panigrahi, P.K.2    Agarwal, G.S.3
  • 2
    • 0033246313 scopus 로고    scopus 로고
    • Theory of Bose-Einstein condensation in trapped gases
    • Pitaevskii L. P., and Stringari S., Bose-Einstein Condensation, Oxford University Press, Oxford
    • Dalfovo F., Giorgini S., Pitaevskii L. P., and Stringari S., Theory of Bose-Einstein condensation in trapped gases, Rev. Mod. Phys. 71, 463512 (1999); Pitaevskii L. P., and Stringari S., Bose-Einstein Condensation, Oxford University Press, Oxford, 2003.
    • (1999) Rev. Mod. Phys , vol.71 , pp. 463512
    • Dalfovo, F.1    Giorgini, S.2    Pitaevskii, L.P.3    Stringari, S.4
  • 6
    • 0032510561 scopus 로고    scopus 로고
    • Observation of Feshbach resonances in a Bose-Einstein condensate
    • Inouye S. et al., Observation of Feshbach resonances in a Bose-Einstein condensate, Nature, 392 (1998) 151.
    • (1998) Nature , vol.392 , pp. 151
    • Inouye, S.1
  • 11
    • 76149134343 scopus 로고    scopus 로고
    • Spatiotemporal wave and soliton solutions to the generalized (3+1)-dimensional Gross-Pitaevskii equation
    • Petrović, N., Belić, M., and Zhong, W. P.; "Spatiotemporal wave and soliton solutions to the generalized (3+1)-dimensional Gross-Pitaevskii equation", Phys. Rev. E 81 (2010), 016610.
    • (2010) Phys. Rev , vol.81 , pp. 016610
    • Petrović, N.1    Belić, M.2    Zhong, W.P.3
  • 13
  • 18
    • 77955449257 scopus 로고    scopus 로고
    • From MathWorld-AWolframWeb Resource
    • Weisstein, E. W.; Riccati Differential Equation; From MathWorld-AWolframWeb Resource. http://mathworld.wolfram.com/RiccatiDifferentialEquation.html.
    • Riccati Differential Equation
    • Weisstein, E.W.1
  • 20
    • 49749129230 scopus 로고    scopus 로고
    • Matter-Wave Soliton Solutions in Bose-Einstein Condensates with Arbitrary Time Varying Scattering Length in a Time-Dependent Harmonic Trap
    • Yang, Q. and Zhang H. J.; Matter-Wave Soliton Solutions in Bose-Einstein Condensates with Arbitrary Time Varying Scattering Length in a Time-Dependent Harmonic Trap, Chinese J. Phys. 46 (2008), 457-459.
    • (2008) Chinese J. Phys , vol.46 , pp. 457-459
    • Yang, Q.1    Zhang, H.J.2
  • 21
    • 77955451636 scopus 로고    scopus 로고
    • Feshbach Resonance and Growth of a Bose-Einstein Condensate
    • Yuce C. and Kilic A., Feshbach Resonance and Growth of a Bose-Einstein Condensate, arXiv:cond-mat: 0609632.v1 (2006).
    • (2006) ArXiv:Cond-mat , vol.1
    • Yuce, C.1    Kilic, A.2
  • 22
    • 49549122215 scopus 로고    scopus 로고
    • Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients
    • Zhong W.P. et al., Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients, Phys. Rev. A 78 (2008), 023821.
    • (2008) Phys. Rev. A , vol.78 , pp. 023821
    • Zhong, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.