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非线性Schrdinger方程组初值问题的驻波解

, PP. 243-246

Keywords: 混合Bose-Einstein凝聚,耦合Gross-Pitaevskii方程组,变分法,驻波解,存在性,稳定性

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Abstract:

研究了三维空间中带调和势的非线性Schrdinger方程组,即耦合Gross-Pitaevskii方程组.该方程组在物理学上用来描述Bose-Einstein凝聚.从一个紧性引理出发,利用变分法得到方程组初值问题驻波解的存在性,并证明了驻波解的稳定性.

References

[1]  Tsurumi T, Morise H, Wadati M. Stability of Bose-Einstein condensates confined traps\[J\]. International J Modern Physics,2000,B14(7):655-719.
[2]  Zhang J. Stability of attractive Bose-Einstein condensates\[J\]. J Stat Phys,2000,101(3/4):731-746.
[3]  Ding W Y, Ni W M. On the existence of positive entire solutions of a semilinear elliptic equation\[J\]. Arch Rational Mech Anal,1986,91:283-308.
[4]  Oh Y G. Existence of semiclassical bound states of nonlinear Schrdinger equations of the class (V)2\[J\]. Commun Part Diff Eqns,1998,13(6):1499-1519.
[5]  Oh Y G. Existence of seminclassical bound states of nonlinear Schrdinger equations with potentials\[J\]. Commun Math Phys,1989,121:11-33.
[6]  陈渝芝,张健. 关于一类Schrdinger方程的驻波解\[J\]. 四川师范大学学报:自然科学版,1999,22(5):536-540.
[7]  Floer A, Weinstein A. Nonspreading wave packets for the cubic Schrdinger equation with a bounded potential\[J\]. J Funct Anal,1986,69:397-408.
[8]  Zhang J. Stability of standing waves for nonlinear Schrdinger equations with unbounded potentials\[J\]. Z Angew Math Phys,2000,51:498-503.
[9]  Grillakis M, Shatah J, Strauss W. Stability theory of solitary waves in the presence of symmetry\[J\]. J Funct Anal,1987,74:160-197.
[10]  hberg P, Santos L. Dark solitons in a two-component Bose-Einstein condensate\[J\]. Phy Rew Lett,2001,86(14):2918-2921.
[11]  Pu H, Zhang W P, Wilkens M, et al. Phonon spectum and dynamical stability of a dilute quantum degenerate Bose-Fermi mixture\[J\]. Phy Rew Lett,2002,88(7):070408.
[12]  Tsurumi T, Wsdati M. Dynamaics of magnetically trapped Boson-Fermion mixtures\[J\]. J Phys Soc Jpn,2000,69(1):97-103.
[13]  Tsurumi T, Wadati M. Collapses of wavefunctions in multi-dimensional coupled nonlinear Schrdinger equations under harmonic potentials\[J\]. J Phys Soc Jpn,1998,67(1):93-95.
[14]  Rabinowitz P H. On a class of nonlinear Schrdinger equation\[J\]. Z Angew Math Phys,1998,43:270-291.
[15]  Omana W, Willem M. Homoclinic orbit for a class of Hamiltonian systems\[J\]. Diff Int Eqns,1992,5(5):1115-1120.
[16]  邓艳萍,张健. 混合Bose-Einstein凝聚的解的整体稳定性\[J\]. 四川师范大学学报:自然科学版,2003,26(3):225-227.

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