Results 1 - 10 of 12
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[en] The dynamics of a bright-bright vector soliton in cigar-shaped Bose-Einstein condensate trapping in a harmonic potential is studied. The interaction between bright solitons in different species with small separation is derived. Unlike the interaction between solitons of the same species, it is independent of the phase difference between the solitons, and may be of attraction or repulsion. In the former case, each soliton will oscillate about and pass through each other around the mass center of the system, which will also oscillate harmonically due to harmonic trapping potential. (authors)
[en] A perturbation method for dark solitons is developed, which is based on the construction and the rigorous proof of the complete set of squared Jost solutions. The general procedure solving the adiabatic solution of perturbed nonlinear Schroedinger+ equation, the time-evolution equation of dark soliton parameters and a formula for calculating the first-order correction are given. The method can also overcome the difficulties resulting from the non-vanishing boundary condition
[en] A special two-soliton solution of sine-Gordon equation is obtained by using the Hirota direct method. It is shown in a mass-centre system how two kinks move and interact with each other.
[en] Three types of expression in the dark-soliton perturbation theory based on squared Jost solutions are investigated in this paper. It is shown that there are three formally different results about the effects of perturbation on a dark soliton, and it is proved by means of a transformation between two integral variables that they are essentially equivalent.
[en] We study the attack vulnerability of network with duplication-divergence mechanism. Numerical results have shown that the duplication-divergence network with larger retention probability σ is more robust against target attack relatively. Furthermore, duplication-divergence network is broken down more quickly than its counterpart BA network under target attack. Such result is consistent with the fact of WWW and Internet networks under target attack. So duplication-divergence model is a more realistic one for us to investigate the characteristics of the world wide web in future. We also observe that the exponent γ of degree distribution and average degree are important parameters of networks, reflecting the performance of networks under target attack. Our results are helpful to the research on the security of network.
[en] The interaction of two bright matter solitons in two-component repulsive Bose-Einstein condensates with interspecies attraction is investigated using the variational approach. The effective interaction potential of the two solitons is obtained. It is shown that the interaction between the two solitons is a short-range attractive force. The relative motion of the two solitons and the oscillating angular frequency are also obtained.
[en] We study the formation of a dynamically-stabilized dissipation-managed bright soliton in a quasi-one-dimensional Bose-Einstein condensate by including an imaginary three-body recombination loss term and an imaginary linear feeding one in the Gross-Pitaevskii equation, trapped in a shallow optical-lattice potential. Based on the direct approach of perturbation theory for the nonlinear Schroedinger equation, we demonstrate that the height (as well as width) of bright soliton may have little change through selecting experimental parameters. (general)
[en] We investigate the exact nonstationary solutions of a two-component Bose-Einstein condensate which compose of two species having different atomic masses. We also consider the interesting behavior of the atomic velocity and the flow density. It is shown that the motion of the two components can be controlled by the experimental parameters. (general)
[en] A direct approach of perturbation theory for the nonlinear Schroedinger equation is developed based on the separation of variables. The first-order effects of perturbation on a kink soliton, showing the slow time dependence of soliton parameters and the first-order correction
[en] The interaction between nonlinear Schroedinger solitons is derived by the least action principle approach as a potential function of the soliton's separation and their initial relative phase, which shows clearly how the solitons interact with each other. Two solitons with the same initial phase always attract each other, while those of opposite phase repel. The method developed in the paper can be extended to deal with interaction between solitons of other nonlinear equations