Analytical Periodic Wave and Soliton Solutions of the Generalized Nonautonomous Nonlinear Schrödinger Equation in Harmonic and Optical Lattice Potentials |
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Authors: | ZHOU Jia-Yi LI Hua-Mei HE Jun-Rong |
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Affiliation: | Department of Physics, Zhejiang Normal University, Jinhua 321004, China |
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Abstract: | We construct analytical periodic wave and soliton solutions to the generalized nonautonomous nonlinear Schrödinger 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. |
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Keywords: | generalized nonautonomous nonlinear Schrödinger equation optical lattice potential periodic wave soliton |
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