title: Dynamics of kink, antikink, bright, generalized Jacobi elliptic function solutions of matter-wave condensates with time-dependent two- and three-body interactions.
abstract: By using the F-expansion method associated with four auxiliary equations, i.e., the Bernoulli equation, the Riccati equation, the Lenard equation, and the hyperbolic equation, we present exact explicit solutions describing the dynamics of matter-wave condensates with time-varying two- and three-body nonlinearities. Condensates are trapped in a harmonic potential and they exchange atoms with the thermal cloud. These solutions include the generalized Jacobi elliptic function solutions, hyperbolic function solutions, and trigonometric function solutions. In addition, we have also found rational function solutions. Solutions constructed here have many free parameters that can be used to manipulate and control some important features of the condensate, such as the position, width, velocity, acceleration, and homogeneous phase. The stability of the solutions is confirmed by their long-time numerical behavior.
authors.affiliation: Laboratory of Atom and Radiation, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon.|Centre d'Excellence en Technologies de l'Information et de la Communication (CETIC), University of Yaounde I, Yaounde, Cameroon.
authors.forename: D
authors.initials: D
authors.lastname: Belobo Belobo
authors.affiliation: Laboratory of Atom and Radiation, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon.|Centre d'Excellence en Technologies de l'Information et de la Communication (CETIC), University of Yaounde I, Yaounde, Cameroon.
authors.forename: G H
authors.initials: GH
authors.lastname: Ben-Bolie
authors.affiliation: Centre d'Excellence en Technologies de l'Information et de la Communication (CETIC), University of Yaounde I, Yaounde, Cameroon.|Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon.|The Max Planck Institute for the Physics of Complex Systems Nöthnitzer Strasse 38, 01187 Dresden, Germany.
authors.forename: T C
authors.initials: TC
authors.lastname: Kofane