Padé approximations of solitary wave solutions of the Gross-Pitaevskii equation
نویسنده
چکیده
Padé 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.
منابع مشابه
Padé approximations of vortex solutions of the Gross-Pitaevskii equation
Padé approximants are used to find the approximate vortex solutions of any winding number in the context of Gross-Pitaevskii equation for the uniform condensate and condensates with axisymmetric trapping potentials. The approximate solutions are used to elucidate the annihilation of pair of vortices of opposite circulation by finding the approximation to the streamfunction of the flow generated...
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