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New Soliton-like Solutions for (2+1)-Dimensional Breaking Soliton Equation
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作者 XIEZheng ZHANGHong-Qing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第3期401-406,共6页
The (2+1)-dimensional breaking soliton equation describes the interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis. In this paper, with the aid of symbolic computation, six kind... The (2+1)-dimensional breaking soliton equation describes the interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis. In this paper, with the aid of symbolic computation, six kinds of new special exact soltion-like solutions of (2+1)-dimensional breaking soliton equation are obtained by using some general transformations and the further generalized projective Riccati equation method. 展开更多
关键词 (2+l)-dimensional breaking soliton equation generalized projective riccatiequation method soliton-like solution
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Covariant Prolongation Structure of Coupled Inhomogeneous Nonlinear Schrodinger Equation
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作者 邓明 李民丽 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第2期218-222,共5页
We investigate the coupled inhomogeneous nonlinear Schrodinger equation by the covariant prolongationstructure theory, and obtain its Lax's representation. Moreover, we present the corresponding Riccati equations,... We investigate the coupled inhomogeneous nonlinear Schrodinger equation by the covariant prolongationstructure theory, and obtain its Lax's representation. Moreover, we present the corresponding Riccati equations, Backlundtransformation, and one-soliton solution. 展开更多
关键词 coupled inhomogeneous nonlinear Schrodinger equation covariant prolongation structure riccatiequations Backlund transformation
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FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS, LINEAR QUADRATIC STOCHASTIC OPTIMAL CONTROL AND NONZERO SUM DIFFERENTIAL GAMES 被引量:13
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作者 WUZhen 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2005年第2期179-192,共14页
In this paper, we use the solutions of forward-backward stochastic differential equations to get the explicit form of the optimal control for linear quadratic stochastic optimal control problem and the open-loop Nash ... In this paper, we use the solutions of forward-backward stochastic differential equations to get the explicit form of the optimal control for linear quadratic stochastic optimal control problem and the open-loop Nash equilibrium point for nonzero sum differential games problem. We also discuss the solvability of the generalized Riccati equation system and give the linear feedback regulator for the optimal control problem using the solution of this kind of Riccati equation system. 展开更多
关键词 stochastic differential equations stochastic optimal control riccatiequation nonzero sum stochastic differential game
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Many Families of Exact Solutions for Nonlinear System of Partial Differential Equations Describing the Dynamics of DNA
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作者 ZAYED Elsayed M. E. ARNOUS Ahmed H. 《Journal of Partial Differential Equations》 2013年第4期373-384,共12页
The objective of this paper is to apply the improved generalized Riccati equation mapping method to find many families of exact traveling wave solutions for the general nonlinear dynamic system in a new double-chain m... The objective of this paper is to apply the improved generalized Riccati equation mapping method to find many families of exact traveling wave solutions for the general nonlinear dynamic system in a new double-chain model of DNA. This model consists of two long elastic homogeneous strands connected with each other by an elastic membrane. Hyperbolic and trigonometric function solutions of this model are obtained. Comparison between our results and the well-known results are given. 展开更多
关键词 Nonlinear dynamics of DNA model exact solutions improved generalized riccatiequation mapping method double-chain model of DNA.
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