Abstract Spatial soliton solutions of a class of generalized nonlinear Schrdinger equations in N space are discussed analytically and numerically. This achieved using a traveling wave method to formulate one soli...Abstract Spatial soliton solutions of a class of generalized nonlinear Schrdinger equations in N space are discussed analytically and numerically. This achieved using a traveling wave method to formulate one soliton solution and the P R method is employed to the numerical solutions and the interactions between the solitons for the generalized nonlinear systems in 2 space. The results presented show that the soliton phenomena are characteristics associated with the nonlinearities of the dynamical systems.展开更多
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Abstract Spatial soliton solutions of a class of generalized nonlinear Schrdinger equations in N space are discussed analytically and numerically. This achieved using a traveling wave method to formulate one soliton solution and the P R method is employed to the numerical solutions and the interactions between the solitons for the generalized nonlinear systems in 2 space. The results presented show that the soliton phenomena are characteristics associated with the nonlinearities of the dynamical systems.
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.
