透過您的圖書館登入
IP:18.191.202.72
  • 期刊
  • OpenAccess

Exact Projective Excitations of a Generalized (3+1)-Dimensional Gross-Pitaevskii System with Varying Parameters

並列摘要


An exact self-similar projective excitation for a generalized (3+1)-dimensional Gross-Pitaevskii system with time-modulated dispersion, nonlinearity, potential, and gain or loss is successfully derived with the aid of a direct projective approach. All the allowed exact solutions of the self-similarity projective equation can be converted into the corresponding exact solutions of the generalized Gross-Pitaevskii system under certain compatibility conditions. According to the derived projective solutions, some localized excitations with novel dynamical behavior are revealed by selecting appropriate system parameters. The integrable constraint condition for the generalized (3+1)-dimensional Gross-Pitaevskii system are first derived naturally.

並列關鍵字

無資料

參考文獻


G. I. Barenblatt, Scaling, Self-Similarity, and Intermediate Asymptotics, (Cambridge University Press, Cambridge, 1996), Chap. 2.
R. Hirota, J. Math. Phys. 14, 810 (1973).
R. M. Miura, Backlund Transformations,The Inverse Scattering Method, Solitons, and their Applications, Vol 515 in Lecture Notes in Mathematics, (Springer-Verlag, Berlin, 1976), Chap.5
C. Q. Dai and J. F. Zhang, Int. Mod. Phys. B 19, 2129 (2005).
S. K. Liu, Q. Zhao, and S. D. Liu, Chin. Phys. B 20, 040202 (2011).

延伸閱讀