The exact chirped soliton-like and quasi-periodic wave solutions of (2 + 1)-dimensional generalized nonlinear Schr6dinger equation including linear and nonlinear gain (loss) with variable coefficients are obtaine...The exact chirped soliton-like and quasi-periodic wave solutions of (2 + 1)-dimensional generalized nonlinear Schr6dinger equation including linear and nonlinear gain (loss) with variable coefficients are obtained detalledly in this paper. The form and the behavior of solutions are strongly affected by the modulation of both the dispersion coefficient and the nonlinearity coefficient. In addition, self-similar soliton-like waves precisely piloted from our obtained solutions by tailoring the dispersion and linear gain (loss).展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.11072219the Zhejiang Provincial Natural Science Foundation under Grant No.Y1100099
文摘The exact chirped soliton-like and quasi-periodic wave solutions of (2 + 1)-dimensional generalized nonlinear Schr6dinger equation including linear and nonlinear gain (loss) with variable coefficients are obtained detalledly in this paper. The form and the behavior of solutions are strongly affected by the modulation of both the dispersion coefficient and the nonlinearity coefficient. In addition, self-similar soliton-like waves precisely piloted from our obtained solutions by tailoring the dispersion and linear gain (loss).