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Some New Solutions of Jacobi Elliptic Functions to mBBM Equation 被引量:2
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作者 GONG Lun-Xun PAN Jun-Ting 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第5X期787-790,共4页
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
关键词 further improved modified mapping method traveling wave solutions Jacobi elliptic functions
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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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