The modified mapping method is further improved by the expanded expression of u(ξ) that contains the terms of the first-order derivative of function f(ξ). Some new exact solutions to the mBBM equation are determ...The modified mapping method is further improved by the expanded expression of u(ξ) that contains the terms of the first-order derivative of function f(ξ). Some new exact solutions to the mBBM equation are determined by means of the method. We can obtain many new solutions in terms of the Jacobi elliptic functions of the equation.展开更多
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
基金The project supported by the Science and Technology Foundation of Cuizhou Province of China under Grant No. 20072009
文摘The modified mapping method is further improved by the expanded expression of u(ξ) that contains the terms of the first-order derivative of function f(ξ). Some new exact solutions to the mBBM equation are determined by means of the method. We can obtain many new solutions in terms of the Jacobi elliptic functions of the equation.
文摘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.