A Variable-Coefficient Manakov Model and Its Explicit Solutions through the Generalized Dressing Method
SU Ting1**, DAI Hui-Hui2, GENG Xian-Guo3
1Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou 451191 2Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong 3Department of Mathematics, Zhengzhou University, Zhengzhou 450052
For waves in inhomogeneous media, variable-coefficient evolution equations can arise. It is known that the Manakov model can derive two models for propagation in uniform optical fibers. If the fiber is nonuniform, one would expect that the coefficients in the model are not constants. We present a variable-coefficient Manakov model and derive its Lax pair using the generalized dressing method. As an application of the generalized dressing method, soliton solutions of the variable-coefficient Manakov model are obtained.
. [J]. 中国物理快报, 2013, 30(6): 60201-060201.
SU Ting, DAI Hui-Hui, GENG Xian-Guo. A Variable-Coefficient Manakov Model and Its Explicit Solutions through the Generalized Dressing Method. Chin. Phys. Lett., 2013, 30(6): 60201-060201.
2013, Vol. 30 
