共查询到16条相似文献,搜索用时 125 毫秒
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文章运用Maple语言程序,在没有假设的条件下,得到了α螺旋蛋白质螺旋链运动模型方程组的行波精确解组,它涵盖了所有的耦合解组与非耦合解组,具有任意性.耦合解组的算例函数及其特性分析,解释了α螺旋蛋白质螺旋链运动模型的行波孤立子解的耦合效应,揭示了增加、稳定和控制蛋白质活性和功能的方向,文章的研究方法,为求解生物大分子螺旋链运动模型的行波精确解组探索了溪径. 相似文献
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根据有机分子链的内部作用机制,在α螺旋蛋白质螺旋线模型的基础上,给出了改进的α螺旋蛋白质螺旋线模型,研究了分子螺旋链中的集体激发———三孤子特征。 相似文献
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将行波变换替换为更一般的函数变换,推广了修正的Jacobi椭圆函数展开方法.给出了非线性 Klein-Gordon方程新的周期解.当模m→1或m→0时,这些解退化成相应的孤立波解、三 角函数解和奇异的行波解.对于某些非线性方程,在一定条件下一般变换退化为行波约化.
关键词:
Jacobi椭圆函数
非线性发展方程
精确解 相似文献
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利用动力系统方法研究一维Tonks-Girardeau原子气区域中Gross-Pitaevskii (GP)方程简化模型的一些精确行波解以及这些精确行波解的动力学行为, 研究系统的参数对行波解的动力学行为的影响. 在不同的参数条件下, 获得了一维Tonks-Girardeau原子气区域中GP方程简化模型的六个行波解的精确参数表达式.
关键词:
动力系统方法
孤立波解
周期波解
扭波解 相似文献
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On Traveling Wave Fronts in a Bacterial Growth Model with Density-Dependent Diffusion and Chemotaxis
M. B. A. Mansour 《Journal of statistical physics》2011,143(1):197-204
Bacterial colonies often generate patterns that are characterized by fingerlike projections growing out of the propagating
front. In this paper, we analyze the traveling wave fronts in bacterial growth model that accounts for chemotactic movement
as well as random motion in density-dependent diffusion. Specifically, the existence of traveling wave solutions to model
equations is examined by means of methods of local linear and nonlinear analysis, and numerical simulations. The occurrence
is shown of both sharp and smooth traveling wave fronts. 相似文献
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《Physica D: Nonlinear Phenomena》1999,125(3-4):222-240
We study the stability of traveling wave solutions to a fifth-order water wave model. By solving a constrained minimization problem we show that “ground state” traveling wave solutions exist. Their stability is shown to be determined by the convexity or concavity of a function d(c) of the wave speed c. The analysis makes frequent use of the variational properties of the traveling waves. 相似文献
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In this letter, we investigate traveling wave solutions of a nonlinear wave equation with degenerate dispersion. The phase portraits of corresponding traveling wave system are given under different parametric conditions. Some periodic wave and smooth solitary wave solutions of the equation are obtained. Moreover, we find some new hyperbolic function compactons instead of well-known trigonometric function compactons by analyzing nilpotent points. 相似文献
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Shuangqing Chen Yang Liu Lixin Wei Bing Guan 《Chinese Journal of Physics (Taipei)》2018,56(2):708-720
In this paper, the complete discrimination system for polynomial method is applied to retrieve the exact traveling wave solutions of time-fractional coupled Drinfel’d–Sokolov–Wilson equations. All of the possible exact traveling wave solutions which consist of the rational function type solutions, solitary wave solutions, triangle function type periodic solutions and Jacobian elliptic functions solutions are obtained, and some of them are new solutions. Moreover, the concrete examples are presented to ensure the existences of obtained solutions. In addition, four types of representative solutions are depicted to show the nature of solutions. 相似文献
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Solitary excitations in one-dimensional ferromagnetic spin chains with biquadratic exchange interaction 下载免费PDF全文
By using the traveling wave method, the solutions of the elliptic function wave and the solitary wave are obtained in a ferromagnetic spin chain with a biquadratic exchange interaction, a single ion anisotropic interaction and an anisotropic nearest neighbour interaction. The effects of the biquadratic exchange interaction and the single ion anisotropic interaction on the properties (width, peak and stability) of the soliton are investigated. It is also found that the effects vary with the strengths of these interactions. 相似文献