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物理学报. 1997, 46(11): 2166-2173.
doi: 10.7498/aps.46.2166.
一类广义N维非线性Schr?dinger方程的孤子解及其性质研究
- 收稿日期: 1997-01-06
- 修回日期: 1997-04-28
- 刊出日期: 1997-11-20
摘要: 研究一类N维广义非线性Schr?dinger方程的孤子解及其性质，研究非线性参数α变化（α→0及α→∞）时孤子性态的变化规律，同时研究该问题的数值解法，得到了该方程的P-R差分格式的收敛性和稳定性条件．
English Abstract
STUDY OF SOLITON SOLUTIONS OF A CLASS OF GENERALIZED NONLINEAR SCHR?DINGER EQUATIONS IN N-SPACE
- Received Date:
06 January 1997
- Accepted Date:
28 April 1997
- Published Online:
20 November 1997
Abstract: Soliton solutions and the properties of a class of generalized nonlinear Schr?dinger (GNLS) equations in N-space are discussed analytically and numerically. The discussion has been done by using a travelling wave method to get one soliton solution and the finite difference method to get the numerical solutions for the GNLS equations. The states of the soliton solutions of the system admitting nonlinearity have been investigated when α→0 and α→∞.The P-R scheme for the system has been studied, and the conditions of stability and convergence for the scheme were obtained.
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