共查询到19条相似文献,搜索用时 62 毫秒
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本文利用广义KP方程的B?cklund变换,获得了含外力项的广义KdV方程ut+6uux+uxxx+6f(t)u=g(t)+x(f′+12f2) (1)的类孤子解。
关键词: 相似文献
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变系数(2+1)维Broer-Kaup方程的精确解 总被引:19,自引:4,他引:15
利用齐次平衡原则,导出了变系数(2+1)维Broer-Kaup方程的B?cklund变换(BT),并由该BT,求出了(2+1)维Broer-Kaup方程的各种形式的精确解. 相似文献
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提出了一种求解任意维数非线性模型的“M?bious”变换下不变的渐进展开方法,并可同时获得许多新的与原模型有着相同维数的Painlevé可积模型.取(2+1)维KdV-Burgers(KdVB)方程和Kadomtsev-Petviashvili(KP)方程为具体例子,获得了一些新的具有Painlevé性质的高维“M?bious”变换下不变的方程及原模型的近似解.在某些特殊情况下,某些近似解可以成为精确解
关键词:
高维可积模型
“M?bious”不变
近似方法 相似文献
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借助于符号计算软件Maple,对方程的种子解作适当的未知函数替换,然后利用Backlund 变 换通过具体的符号演算获得了(2+1)维Boussinesq方程的一系列精确解.这些解包括类孤子解 和有理解,其中有的解中含有任意函数,当任意函数取特殊函数时,这些解具有丰富的结构 ,有些结构可能对物理现象的研究是有意义的.
关键词:
(2+1)维Boussinesq方程
Backlund 变换
精确解
类孤子解 相似文献
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With the help of technique of integration within an ordered product (IWOP) of operators we find new integration transformation connecting the coherent state and the biparticle entangled state. We also point out that under this kind of integration transformation the direct product of two single-variable Hermite polynomials behaves quite different from the two-variable Hermite polynomials, in this way we show that the latter is intrinsic to the phase space of quantum entanglement. As a byproduct, some operator identities for theoretical quantum optics can also be neatly expressed in terms of the two-variable Hermite polynomials. 相似文献
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Erin D. Fichtl Anil K. Prinja 《Journal of Quantitative Spectroscopy & Radiative Transfer》2011,112(4):646-659
Stochastic spectral expansions are used to represent random input parameters and the random unknown solution to describe radiation transport in random media. The total macroscopic cross section is taken to be a spatially continuous log-normal random process with known covariance function and expressed as a memoryless transformation of a Gaussian random process. The Karhunen-Loève expansion is applied to represent the spatially continuous random cross section in terms of a finite number of discrete Gaussian random variables. The angular flux is then expanded in terms of Hermite polynomials and, using a quadrature-based stochastic collocation method, the expansion coefficients are shown to satisfy uncoupled deterministic transport equations. Sparse grid Gauss quadrature rules are investigated to establish the efficacy of the polynomial chaos-collocation scheme. Numerical results for the mean and standard deviation of the scalar flux as well as probability density functions of the scalar flux and transmission function are obtained for a deterministic incident source, contrasting between absorbing and diffusive media. 相似文献
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强调双模厄米多项式在量子光学理论中的地位,认为它是研究连续变量纠缠态和压缩态的必要函数,具有明确的物理意义。利用双模厄米多项式,结合有序算符内的积分技术,给出了若干新的算符恒等式和互逆的积分变换公式,证明了压缩双模粒子数态恰好是双变量厄米多项式激发压缩真空态。 相似文献
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JIANG Wu-You ZHANG Hong-Qing 《理论物理通讯》2005,44(12)
In this paper, the Wick-type stochastic mKdV equation is researched. Many Wick-type stochastic solitonlike solutions are given via Hermite transformation and further generalized projective Riccati equation method. 相似文献
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JIANG Wu-Yout ZHANG Hong-Qing 《理论物理通讯》2005,44(6):981-986
In this paper, the Wick-type stochastic mKdV equation is researched. Many Wick-type stochastic solitonlike solutions are given via Hermite transformation and further generalized projective Riccati equation method. 相似文献
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指出了等价电子组态波函数与Young盘间变换性质是幺正的,而不是厄米幺正的.指出了一个谱项波函数的符号错误.
关键词:
群论
量子力学 相似文献