Pade approximations of solitary wave solutions of the Gross-Pitaevskii equation

Details Pade approximations of solitary wave solutions of the Gross-Pitaevskii equation Pade approximations of solitary wave solutions of the Gross-Pitaevskii equation

2003-06-24

arxiv.org/abs/cond-mat/0306596v2

Physics

Condensed Matter

Soft Condensed Matter

In press by Journal of Physics: Mathematics and General

Scientific paper

10.1088/0305-4470/37/5/011

Pade approximants are used to find approximate vortex solutions of any winding number in the context of Gross-Pitaevskii equation for a uniform condensate and condensates with axisymmetric trapping potentials. Rational function and generalised rational function approximations of axisymmetric solitary waves of the Gross-Pitaevskii equation are obtained in two and three dimensions. These approximations are used to establish a new mechanism of vortex nucleation as a result of solitary wave interactions.

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