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12 results on '"Wang, Dengshan"'

1. N-Dark-Dark Solitons in the Generally Coupled Nonlinear Schroedinger Equations

Author

Ohta, Yasuhiro, Wang, Dengshan, and Yang, Jianke

Subjects
Nonlinear Sciences - Pattern Formation and Solitons
Abstract

N-dark-dark solitons in the generally coupled integrable NLS equations are derived by the KP-hierarchy reduction method. These solitons exist when nonlinearities are all defocusing, or both focusing and defocusing nonlinearities are mixed. When these solitons collide with each other, energies in both components of the solitons completely transmit through. This behavior contrasts collisions of bright-bright solitons in similar systems, where polarization rotation and soliton reflection can take place. It is also shown that in the mixed-nonlinearity case, two dark-dark solitons can form a stationary bound state., Comment: 26 pages, 3 figures

Published
2010

10. A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions.

Author

Lingling Xue, Liu, Q. P., and Wang, Dengshan

Subjects
KORTEWEG-de Vries equation, DARBOUX transformations, ITERATIVE methods (Mathematics), GENERALIZATION, MATHEMATICAL analysis
Abstract

A Darboux transformation is constructed for the generalized Hirota-Satsuma coupled KdV system and the result is compared with the recent work of Geng and his collaborators [X. G. Geng et al., Phys. Rev. E 79, 056602 (2009) and X. G. Geng and G. L. He, J. Math. Phys. 51, 033514 (2010)]. It is shown that our Darboux transformation may be applied to three interesting reductions of the general system. In addition, the iteration of this Darboux transformation is worked out, and some solutions to the associated systems are obtained. [ABSTRACT FROM AUTHOR]

Published
2016
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