Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2010-11-10
Nonlinear Sciences
Pattern Formation and Solitons
26 pages, 3 figures
Scientific paper
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.
Ohta Yasuhiro
Wang Dengshan
Yang Jianke
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