共查询到19条相似文献,搜索用时 78 毫秒
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获得了广义的Zakharov方程和Ginzburg-Landau方程的一些精确行波解,这些行波解有什么样的动力学行为,它们怎样依赖系统的参数?该文将利用动力系统方法回答这些问题,给出了两个方程的6个行波解的精确参数表达式. 相似文献
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研究了几类(2+1)维非线性Schroedinger型方程同宿轨道的问题.利用Hirota双线性算子方法,通过给出的相关变换,得到了包括(2+1)维的长短波相互作用方程,广义Zakharov方程,Mel’nikov方程和g-Schroedinger方程的同宿轨道解的显式解析表达式,从而讨论了这些方程的同宿轨道. 相似文献
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本文研究了一类广义Zakharov方程的精确解行波解的问题.利用改进的G/G展开方法,借助于计算机代数系统Mathematica,获得了具有重要物理背景的广义Zakharov方程一系列新的含有多个参数的精确行波解,这些解包括孤立波解,双曲函数解,三角函数解,以及有理函数解. 相似文献
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甘在会 《数学年刊A辑(中文版)》2012,33(5):579-598
研究非均匀介质中Zakharov系统的位力奇性解.该系统描述了静电势与等离子密度在静电极限意义下的相互作用.一方面,利用位力恒等式,在c0=+∞时证明了所研究的Zakharov系统的有限时间爆破结果.另一方面,通过建立局部的位力恒等式并利用关于时间的Lyapunov函数的存在性,在00<+∞时得到了所研究的Zakharov系统具负能量的径向对称解的爆破结果. 相似文献
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外部流动的Oseen耦合方法,I:Oseen耦合逼近 总被引:1,自引:0,他引:1
这篇文章考虑了具有非齐次边界条件的二维非定常外部Navier-Stokes方程.通过将内部区域的Navier-Stokes方程和外部区域的Oseen方程相耦合,得到了Navier-Stokes问题的逼近问题: Oseen耦合问题,此外,我们证明了 Oseen耦合方程弱解的存在性,唯一性和收敛精度. 相似文献
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研究了几类(2 1)维非线性Schr(o)dinger型方程同宿轨道的问题.利用Hirota双线性算子方法, 通过给出的相关变换, 得到了包括(2 1)维的长短波相互作用方程, 广义Zakharov方程, Mel'nikov方程和g-Schr(o)dinger方程的同宿轨道解的显式解析表达式,从而讨论了这些方程的同宿轨道. 相似文献
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The stochastic dissipative Zakharov equations with white noise are mainly investigated. The global random attractors endowed with usual topology for the stochastic dissipative Zakharov equations are obtained in the sense of usual norm. The method is to transform the stochastic equations into the corresponding partial differential equations with random coefficients by Ornstein-Uhlenbeck process. The crucial compactness of the global random attractors wiil be obtained by decomposition of solutions. 相似文献
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A.H. Bhrawy M.A. Abdelkawy Anjan Biswas 《Communications in Nonlinear Science & Numerical Simulation》2013,18(4):915-925
This paper studies two nonlinear coupled evolution equations. They are the Zakharov equation and the Davey–Stewartson equation. These equations are studied by the aid of Jacobi’s elliptic function expansion method and exact periodic solutions are extracted. In addition, the Zakharov equation with power law nonlinearity is solved by traveling wave hypothesis. 相似文献
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In this paper, we modified the so-called generalized (G′/G)-expansion method to obtain new traveling wave solutions for nonlinear
differential equations. The generalized Zakharov equations are chosen to illustrate the method in detail. 相似文献
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Qian-shun Chang Bo-ling GuoInstitute of Applied Mathematics Academy of Mathematics System Sciences Chinese Academy of Sciences Beijing ChinaInstitute of Applied Physics Computational Mathematics Beijing China 《应用数学学报(英文版)》2002,18(2):201-214
Abstract In this paper, a dissipative Zakharov equations are discretized by difference method.We make priorestimates for the algebric system of equations. It is proved that for each mesh size,there exist attractors forthe discretized system.The bounds of the Hausdorff dimensions of the discrete attractors are obtained,and thevarious bounds are dependent of the mesh sizes. 相似文献
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Jun-Du Liang 《计算数学(英文版)》1984,2(4):364-375
This paper is intended to study the finite difference method for the periodic boundary and initial value problem of a class of system of generalized Zakharov equations. 相似文献
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《Communications in Nonlinear Science & Numerical Simulation》2014,19(2):377-382
A new general theorem, which does not require the existence of Lagrangians, allows to compute conservation laws for an arbitrary differential equation. This theorem is based on the concept of self-adjoint equations for nonlinear equations. In this paper we show that the Zakharov–Kuznetsov equation is self-adjoint and nonlinearly self-adjoint. This property is used to compute conservation laws corresponding to the symmetries of the equation. In particular the property of the Zakharov–Kuznetsov equation to be self-adjoint and nonlinearly self-adjoint allows us to get more conservation laws. 相似文献
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郭柏灵 《应用数学学报(英文版)》1994,10(4):419-433
ONGLOBALSOLUTIONFORACLASSOFSYSTEMSOFMULTI-DIMENSIONALGENERALIZEDZAKHAROVTYPEEQUATIONGUOBOLING(郭柏灵)(InstituteofAppliedandCompu... 相似文献
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Shaobin Tan 《应用数学学报(英文版)》1993,9(4):367-375
In this paper we consider the semi-discretization difference method for the system of Zakharov equations. Under certain conditions, the convergence, error stimates and stability of the given difference scheme are studied.This project is supported by the National Natural Science Foundation of China. 相似文献