Padé approximations of solitary wave solutions of the Gross–Pitaevskii equation

Natalia G Berloff
2004 Journal of Physics A: Mathematical and General  
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.
doi:10.1088/0305-4470/37/5/011 fatcat:rk3dmy5bzfbmngbgw4zsvwoobu