一类广义非线性Schrödinger方程的孤立子解及其性质研究
THE STUDY OF THE SOLITON SOLUTIONS OF A CLASS OF GENERALIZED SCHRÖDINGER EQUATIONS
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摘要: 研究一类广义非线性Schrödinger方程的孤立子解及其性质,研究非线性参数变化(α→0及α→∞)时孤立子性态的变化规律,同时研究该系统的数值解法,得到了一类广义非线性Schrödinger方程差分格式的收敛性和稳定性的条件。Abstract: Soliton solutions of a class of generalized nonlinear Schrödinger equations are discussed analytically and numerically.This is achieved by using the travelling wave method to formulate soliton solution and the finite difference method for numerical solutions of the equations.
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