Soliton solutions of a class of generalized nonlinear evolution equations are discussed analytically and numerically. This is done by using a travelling wave method to formulate one soliton solution and the finite di...Soliton solutions of a class of generalized nonlinear evolution equations are discussed analytically and numerically. This is done by using a travelling wave method to formulate one soliton solution and the finite difference method to the numerical solutions and the interactions between the solitons for the generalized nonlinear Schrdinger equations. The characteristic behavior of the nonlinearity admitted in the system has been investigated and the soliton states of the system in the limit when α→0 and α→∞ have been studied. The results presented show that the soliton phenomenon is characteristics associated with the nonlinearities of the dynamical systems.展开更多
文摘Soliton solutions of a class of generalized nonlinear evolution equations are discussed analytically and numerically. This is done by using a travelling wave method to formulate one soliton solution and the finite difference method to the numerical solutions and the interactions between the solitons for the generalized nonlinear Schrdinger equations. The characteristic behavior of the nonlinearity admitted in the system has been investigated and the soliton states of the system in the limit when α→0 and α→∞ have been studied. The results presented show that the soliton phenomenon is characteristics associated with the nonlinearities of the dynamical systems.
