共查询到18条相似文献,搜索用时 171 毫秒
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运用重合度理论探讨了一类非线性问题的周期解.然后将其应用于一个厄尔尼诺大气物理机理振荡,简捷地得到了该模型的周期解.
关键词:
非线性
厄尔尼诺现象
周期解 相似文献
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提出了一种比较系统的求解非线性发展方程精确解的新方法, 即试探方程法. 以一个带5阶 导数项的非线性发展方程为例, 利用试探方程法化成初等积分形式,再利用三阶多项式的完 全判别系统求解,由此求得的精确解包括有理函数型解, 孤波解, 三角函数型周期解, 多项 式型Jacobi椭圆函数周期解和分式型Jacobi椭圆函数周期解
关键词:
试探方程法
非线性发展方程
孤波解
Jacobi椭圆函数
周期解 相似文献
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In this paper,the bilinear form of a generalized Kadomtsev-Petviashvili equation is obtained by applying the binary Bell polynomials.The N-soliton solution and one periodic wave solution are presented by use of the Hirota direct method and the Riemann theta function,respectively.And then the asymptotic analysis demonstrates one periodic wave solution can be reduced to one soliton solution.In the end,the bilinear Bcklund transformations are derived. 相似文献
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We give some details about the periodic cylindrical solution found by Zhang and Ou-Yang in [1996 Phys.Rev.E 53 4206] for the general shape equation of vesicle.Three different kinds of periodic cylindrical surfaces and a special closed cylindrical surface are obtained.Using the elliptic functions contained in mathematic,we find that this periodic shape has the minimal total energy for one period when the period-amplitude ratio β 1.477,and point out that it is a discontinuous deformation between plane and this periodic shape.Our results also are suitable for DNA and multi-walled carbon nanotubes(MWNTs). 相似文献
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ZHAO Xue-Qin ZHI Hong-Yan 《理论物理通讯》2008,50(8):309-314
With the aid of computerized symbolic computation, an improved F-expansion method is presented to uniformly construct more new exact doubly periodic solutions in terms of rational formal Jscobi elliptic function of nonlinear partial differential equations (NPDFs). The coupled Drinfel'd-Sokolov-Wilson equation is chosen to illustrate the method. As a result, we can successfully obtain abundant new doubly periodic solutions without calculating various Jacobi elliptic functions. In the limit cases, the rational solitary wave solutions and trigonometric function solutions are obtained as well. 相似文献
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A type of discrete-time inertial neural networks with delays is considered. Using the contraction mapping principal, we obtain the existence of almost periodic sequence solution for the considered system. Furthermore, several sufficient conditions are obtained for the boundness and global attractivity of almost periodic sequence solution by using difference equation analysis techniques. 相似文献
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YANG Zong-Hang 《理论物理通讯》2006,46(5):807-811
An algebraic method with symbolic computation is devised to uniformly construct a series of exact solutions of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawda equation. The solutions obtained in this paper include solitary wave solutions, rational solutions, triangular periodic solutions, Jacobi and Weierstrass doubly periodic solutions. Among them, the Jacobi periodic solutions exactly degenerate to the solutions at a certain limit condition. Compared with most existing tanh method, the method used here can give new and more general solutions. More importantly, this method provides a guldeline to classifj, the various types of the solution according to some parameters. 相似文献