Traveling and solitary wave solutions to the one-dimensional Gross-Pitaevskii equation. Academic Article uri icon


  • The evolution of traveling and solitary waves in Bose-Einstein condensates (BECs) with a time-dependent scattering length in an attractive/repulsive parabolic potential is studied. The homogeneous balance principle and the F-expansion technique are used to solve the one-dimensional Gross-Pitaevskii equation with time-varying coefficients. We obtained three classes of new exact traveling wave and localized solutions. Our results demonstrate that the BEC solitary wave solutions can be manipulated and controlled by the time-dependent scattering length.

published proceedings

  • Phys Rev E Stat Nonlin Soft Matter Phys

author list (cited authors)

  • Zhong, W., Beli, M. R., Lu, Y., & Huang, T.

citation count

  • 30

complete list of authors

  • Zhong, Wei-Ping||Belić, Milivoj R||Lu, Yiqin||Huang, Tingwen

publication date

  • January 2010