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

Natalia G. Berloff
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Abstract

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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Natalia G. Berloff. 2003-12-19. Pade approximations of solitary wave solutions of the Gross-Pitaevskii equation. https://doi.org/10.1088/0305-4470%2F37%2F5%2F011

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