An improved method for Darboux transformation for the coupled inhomogeneous nonlinear Schrodinger system from plasma physics and nonlinear optics

作者：Liu, Yu-Ping^*; Gao, Yi-Tian; Wei, Guang-Mei

来源：Physica A: Statistical Mechanics and Its Applications , 2013, 392(4): 656-665.

DOI：10.1016/j.physa.2012.10.010

• Coupled inhomogeneous nonlinear
• Schrodinger system
• Darboux transformation
• Backlund transformation
• Symbolic computation

The coupled inhomogeneous nonlinear Schrodinger-type system which can be used to control soliton propagation and interaction in certain plasmas and optical fibers is investigated. An improved method for Darboux transformation (DT) is presented in more general forms by constructing an improved Gamma-Riccati-type Backlund transformation (Gamma-R BT). With the Nth-iterated Gamma-R BT or the Nth-iterated DT, which is a compact representation for the N-soliton-like solutions and can generate a series of analytic solutions from a pair of the seed solutions through algebraic manipulations, the analytic one-/two-soliton-like solutions are provided. With the choice of parameters for the soliton solutions, the dynamical characteristics of the influences of the inhomogeneous parameters on the propagation of the soliton pulses are discussed graphically.

• 出版日期2013-2-15
• 单位软件开发环境国家重点实验室; 北京航空航天大学