Shi-Jie Yang, Zhi-Hai Zhang, Shiping Feng
We propose a method to analytically solve the one-dimensional coupled
nonlinear Gross-Pitaevskii equations which govern the motion of the spinor
Bose-Einstein condensates. Classes of exact stationary solutions for the F=1
and F=2 condensates are obtained, from which the soliton complexes are
naturally produced and classified. The spin polarizations exhibit parallel or
kinked spin density waves. Our method is also applicable to other coupled
nonlinear systems in quantum as well as in classical physics.
View original:
http://arxiv.org/abs/1202.3197
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