Analytical chirped solutions to the (3 + 1)-dimensional Gross-Pitaevskii equation for various diffraction and potential functions. Academic Article uri icon

abstract

  • Analytical solutions to the (3 + 1)-dimensional Gross-Pitaevskii equation in the presence of chirp and for different diffraction and potential functions are found. We utilize a method we formulated to solve the Riccati equation for the chirp function that arises when the F-expansion technique and the homogeneous balance principle are applied to the Gross-Pitaevskii equation. Three specific examples of physical interest are considered in some detail.

published proceedings

  • Phys Rev E Stat Nonlin Soft Matter Phys

author list (cited authors)

  • Al Bastami, A., Beli, M. R., Milovi, D., & Petrovi, N. Z.

citation count

  • 8

complete list of authors

  • Al Bastami, Anas||Belić, Milivoj R||Milović, Daniela||Petrović, Nikola Z

publication date

  • July 2011