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APPLICATIONS OF THE WEIGHTED SCHEME FOR GNLS EQUATIONS IN SOLVING SOLITON SOLUTIONS
Zhang, Tiande,Cao, Qingjie,Price, G.W.,Djidjeli, K.,Twizell, E.H. 한국전산응용수학회 1998 Journal of applied mathematics & informatics Vol.5 No.3
Soliton solutions of a class of generalized nonlinear evo-lution equations are discussed analytically and numerically which is achieved using a travelling wave method to formulate one-soliton solution and the finite difference method to the numerical dolutions and the interactions between the solitons for the generalized nonlinear Schrodinger equations. The characteristic behavior of the nonlinear-ity admitted in the system has been investigated and the soliton state of the system in the limit of $\alpha\;\longrightarrow\;0$ and $\alpha\;\longrightarrow\;\infty$ has been studied. The results presented show that soliton phenomena are character-istics associated with the nonlinearities of the dynamical systems.
CONVEXITY CONTROL AND APPROXIMATION PROPERTIES OF INTERPOLATING CURVES
Qi, Duan,Chen, Tzer-Shyong,Djidjeli, K.,Price, W.G.,Twizell, E.H. 한국전산응용수학회 2000 Journal of applied mathematics & informatics Vol.7 No.2
A constrained rational cubic spline with linear denominator was constructed in [1]. In the present paper, the sufficient condition for convex interpolation and some properties in error estimation are given.