共查询到20条相似文献,搜索用时 0 毫秒
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ZHANG Yi CHEN Deng-Yuan 《理论物理通讯》2004,42(11)
By using the extended Hirota‘s method, the N-soliton-like solution of the Ito equation is obtained. Furthermore, we also investigate the soliton-like solution interaction and find singularity. 相似文献
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ZHANGYi CHENDeng-Yuan 《理论物理通讯》2004,42(5):641-644
By using the extended Hirota‘s method, the N-soliton-like solution of the Ito equation is obtained. Furthermore, we also investigate the soliton-like solution interaction and find singularity. 相似文献
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研究环形加速器中的纵向微波不稳定性,发展了Vlasov方程在(J,φ)坐标下用正交多项式展开的数值计算程序,并把它用于对微波不稳定性的初步研究. 相似文献
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The surface in R3 associated with the Tzitzeica equation & considered. By curvature coordinate transformation and surface imbedding, the Gauss-Codazzi equation is presented. Resorting to the solutions of the Gauss-Codazzi equation, the solution of the Tzitzeica equation & obtained under a restrictive condition. 相似文献
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Evgeniy Gennadievich Amosenok Aleksandr Olegovich Smirnov 《Letters in Mathematical Physics》2011,96(1-3):157-168
Two-gap two-elliptic solution of Boussinesq equation in elliptic Jacoby theta-functions is obtained. The graph of some example of solution is constructed. 相似文献
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A special two-soliton solution of sine-Gordon equation is obtained by using
the Hirota direct method. It is shown in a mass-centre system how two kinks move and
interact with each other. 相似文献
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In this paper we consider the recurrent equation for p≥1 with f∈C[0,1] and Λ1=y>0 given. We give conditions on f that guarantee the existence of y (0) such that the sequence Λ p with Λ1=y (0) tends to a finite positive limit as p→∞.
相似文献
$\Lambda_{p+1}=\frac{1}{p}\sum_{q=1}^pf\bigg(\frac{q}{p+1}\bigg)\Lambda _{q}\Lambda_{p+1-q}$
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We apply the homotopy analysis method to solve the nonhomogeneous multidimensional partial differential equation model problem. The analytic solutions are calculated in terms of convergent series with easily computable components. The nonhomogeneous problem is quickly solved by observing the self-canceling "noise" terms whose sum vanishes in the limit. Numerical results clearly reveal the complete reliability and efficiency of the proposed algorithm. 相似文献
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An attempt has been made to obtain exact analytical travelling wave solution of Korteweg-de Vries-Burger's (KdVB) equation by the so-called tanh-method. This equation can be derived for dust ion acoustic shocks by using reduction perturbation method. It is found that an exact solution of the KdVB equation is obtained by tanh-method, provided the parameters involved satisfy a constraint relation. However a special exact analytical solution can be obtained where no such restriction is necessary. This solution has the structure of a shock wave. Numerical solution is also obtained for travelling wave with or without the assumption of the constraint relation. We have also found a singular solution in terms of cosech and coth functions. 相似文献
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The Fokker-Planck equation is useful to describe stochastic processes. Depending on the force acting in the system, the solution of this equation becomes complicated and approximate or numerical solutions are needed. The relation with the Schrödinger equation allows building a method to obtain solutions of the Fokker-Planck equation. However, this approach has been limited to the study of confined potentials, restricting its applicability. In this work, we suggest a general treatment for non-confining potentials through the use of series of functions based on the solution of the Schrödinger equation, with part of discrete spectrum and part of continuum spectrum. Two examples, the Rosen-Morse potential and a limited harmonic potential, are analyzed using the suggested approach. 相似文献
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The two-dimensional Vlasov equation is solved by direct integration in phase space. Two problems, namely the nonlinear evolution of the two-dimensional electrostatic two-stream instability, and the nonlinear evolution of a monochromatic wave in a two-dimensional Vlasov plasma, are studied. Comparison with previously available results is given. 相似文献
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The algebraic structure for nonlinear Fokker-Planck equation is discussed. By using Lie algebraic techniques, the exponent operator equation can be decomposed. A time evolution solution of nonlinear Brownian motion is given and can be compared with other theories. 相似文献
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We establish an explicit algebra isomorphism between the quantum reflection algebra for the Uq([^(sl2)]) R{U_q(\widehat{sl_2}) R}-matrix and a new type of current algebra. These two algebras are shown to be two realizations of a special case of tridiagonal
algebras (q-Onsager). 相似文献
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Let R be a Hecke solution to the Yang–Baxter equation and K be a reflection equation matrix with coefficients in an associative algebra
. Let R(x) be the baxterization of R and suppose that K satisfies a polynomial equation with coefficients in the center of
. We construct solutions to the reflection equation with spectral parameter relative to R(x), in the form of polynomials in K. 相似文献
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Journal of Statistical Physics - In this article we prove local well-posedness of the system of equations $$\partial _t h_{i}= \sum _{j=1}^{i}\partial _x^2 h_{j}+ (\partial _x h_{i})^2 + \xi $$ on... 相似文献
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In this paper, some examples, such as iterated functional systems, scaling equation of wavelet transform,and invariant measure system, are used to show that the homoclinic orbit solutions exist in the functional equations too.And the solitary wave exists in generalized dynamical systems and functional systems. 相似文献