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921.
Turgut Ozis Imail Aslan 《理论物理通讯》2009,51(4):577-580
With the aid of symbolic computation system Mathematica, several explicit solutions for Fisher's equation and CKdV equation are constructed by utilizing an auxiliary equation method, the so called G′/G-expansion method, where the new and more general forms of solutions are also constructed. When the parameters are taken as special values, the previously known solutions are recovered. 相似文献
922.
In this paper, by using the symmetry method, the relationships between new explicit solutions and old ones of the (2+1)-dimensional Kaup-Kupershmidt (KK) equation are presented. We successfully obtain more general exact travelling wave solutions for (2+ 1)-dimensional KK equation by the symmetry method and the (G1/G)-expansion method. Consequently, we find some new solutions of (2+1)-dimensional KK equation, including similarity solutions, solitary wave solutions, and periodic solutions. 相似文献
923.
Classification and reduction of the generalized fourth-order nonlinear differential equations arising from the liquid films are considered. It is shown that these equations have solutions on subspaces of the polynomial, exponential or trigonometric form defined by linear nth-order ordinary differential equations with constant coefficients for n = 4,..., 9. Several examples of exact solutions are presented. 相似文献
924.
用普通Korteweg-de Vries(KdV)方程作变换,构造(3 1)维KdV方程的解,获得了新的孤子解、Jaoobi椭圆函数解、三角函数解和Weierstrass椭圆函数解. 相似文献
925.
A modified direct method is developed to find finite symmetry groups of nonlinear mathematical physics systems. Applying the modified direct method to the well-known (2+1)-dimensional B KP equation we get its symmetry. Furthermore, the exact solutions of (2+1)-dimensional BKP equation are obtained through symmetry analysis. 相似文献
926.
LU Bin ZHANG Hong-Qing 《理论物理通讯》2008,50(10):814-820
In this paper, extended projective Riccati equation method is presented for constructing more new exact solutions of nonlinear differential equations in mathematical physics, which is direct and more powerful than projective Riccati equation method. In order to illustrate the effect of the method, Broer Kaup Kupershmidt system is employed and Jacobi doubly periodic solutions are obtained. This algorithm can also be applied to other nonlinear differential equations. 相似文献
927.
This paper analyses bright and dark spatial self-similar waves propagation and collision in graded-index nonlinear waveguide amplifiers with self-focusing and self-defocusing Kerr nonlinearities. It finds an appropriate transformation for the first time such that the nonlinear Schrodinger equation (NLSE) with varying coefficients transform into standard NLSE. It obtains one-solitonlike, two-solitonlike and multi-solitonlike self-similar wave solutions by using the transformation. Furthermore, it analyses the features of the self-similar waves and their collisions. 相似文献
928.
当静态的具有球对称性的理想流体的密度是径向坐标的函数时,Oppenheimer-Volkoff(OV) 方程成为Riccati方程-根据OV方程的一个已知特解,能将它变换成可积分的Bernoulli方程 ,严格地求得OV方程的通解和另一特解,进一步得到理想流体球的爱因斯坦场方程的内部严 格解,即度规分量的解析表示式-
关键词:
爱因斯坦场方程
OV方程
理想流体球内部严格解 相似文献
929.
T. Matsunawa 《Annals of the Institute of Statistical Mathematics》1985,37(1):1-16
Summary The exact probability density function is given for linear combinations ofk=k(n) order statistics selected from whole order statistics based on random sample of sizen drawn from a uniform distribution. Normal approximation to the linear combinations is made with the aid of Berry-Esseen's
theorem. Necessary and sufficient conditions of the asymptotic normality for the statistic are obtained, too. An exact distribution
and its normal approximation of linear combination of mutually independent gamma variables with integer valued parameters
are also given as associated consequences.
The Institute of Statistical Mathematics 相似文献
930.
Exact identities are derived for a family of models including (a) a domain wall in a random field Ising model (RFIM), and (b) the random anisotropyXY model in the no-vortex approximation. In particular, the second moment of thermal fluctuations is not affected by frozen randomness. It is checked in a one-dimensional model that higher moments are on the contrary strongly enhanced. Thus, thermal fluctuations are strongly non-Gaussian. This reflects excursions between remote potential wells in the phase space. It is shown exactly that the Imry-Ma argument yields a correct evaluation of the field-induced fluctuations for the one-dimensional model. 相似文献