Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation
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2010
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In this paper we present analytical breather solutions of the three-dimensional nonlinear generalized Gross-
Pitaevskii equation. We use an Ansatz to reduce the three-dimensional equation with space- and timedependent
coefficients into a one-dimensional equation with constant coefficients. The key point is to show that
both the space- and time-dependent coefficients of the nonlinear equation can contribute to modulate the
breather excitations. We briefly discuss the experimental feasibility of the results in Bose-Einstein condensates.
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AVELAR, A. T; BAZEIA, D.; CARDOSO, W. Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation. Physical Review. E, Melville, v. 82, e057601, 2010.