Analytical Periodic Wave and Soliton Solutions of the Generalized Nonautonomous Nonlinear Schrdinger Equation in Harmonic and Optical Lattice Potentials

作者：Zhou Jia Yi; Li Hua Mei^*; He Jun Rong

来源：Communications in Theoretical Physics, 2012, 58(3): 393-397.

DOI：10.1088/0253-6102/58/3/12

• generalized nonautonomous nonlinear Schrodinger equation
• optical lattice potential
• periodic wave
• soliton

We construct analytical periodic wave and soliton solutions to the generalized nonautonomous nonlinear Schrodinger equation with time- and space-dependent distributed coefficients in harmonic and optical lattice potentials. We utilize the similarity transformation technique to obtain these solutions. Constraints for the dispersion coefficient, the nonlinearity, and the gain (loss) coefficient are presented at the same time. Various shapes of periodic wave and soliton solutions are studied analytically and physically. Stability analysis of the solutions is discussed numerically.

• 出版日期2012-9
• 单位浙江师范大学