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1.
非球谐振子势的精确解 总被引:6,自引:0,他引:6
严格求解了三维非球谐振,势的Schrodinger方程给出了精确的能谱方程和归一化的径向波函数.获得了径向幂次算符rs的矩阵元和平均值的计算公式及其递推关系. 相似文献
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We study stability of a generalized sine-Gordon model with two coupled scalar fields in two dimensions. Topological soliton solutions are found from the first-order equations that solve the equations of motion. The perturbation equations can be cast in terms of a Schrödinger-like operators for fluctuations and their spectra are calculated. 相似文献
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The solutions of the Schrodinger equation with quantum mechanical gravitational potential plus harmonic oscillator potential have been presented using the parametric Nikiforov-Uvarov method. The bound state energy eigen values and the corresponding un-normalized eigen functions are obtained in terms of Laguerre polynomials. Also a special case of the potential has been considered and its energy eigen values are obtained. 相似文献
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In this short paper, bilinear form of a negative order AKNS equation
is given. The N-soliton solutions are obtained through Hiorta's direct method. 相似文献
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ZHANG Xiao-Fei XIE Chong-Wei WANG Shi-En 《理论物理通讯》2007,47(6):1063-1066
We obtain soliton and plane wave solutions for the coupled nonlinear Schrotinger equations, which describe the dynamics of the three-component Bose-Einstein condensates by using the Hirota method. Meanwhile we find that the system which has attractive atomic interaction will only possess a shape changing (inelastic) collision property due to intensity redistribution in the absence of the spin-exchange interaction. As a discussed example, we investigate the one-soliton, two-soliton solutions and collisional effects between bright two-soliotn solution, which lead to the intensity redistribu tion. 相似文献
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JI Jie ZHAO Song-Lin ZHANG Da-Jun 《理论物理通讯》2008,50(11):1033-1035
In this short paper, bilinear form of a negative order AKNS equation is given. The N-soliton solutions are obtained through Hiorta's direct method. 相似文献
9.
HUANG Wen-Hua ZHANG Jie-Fang 《理论物理通讯》2004,42(7)
Using the variable separation approach, many types of exact solutions of the generalized (2 1)-dimensional Nizhnik-Novikov-Veselov equation are derived. One of the exact solutions of this model is analyzed to study the interaction between a line soliton and a y-periodic soliton. 相似文献
10.
HUANGWen-Hua ZHANGJie-Fang 《理论物理通讯》2004,42(1):4-8
Using the variable separation approach, many types of exact solutions of the generalized (2 1)-dimensional Nizhnik-Novikov-Veselov equation are derived. One of the exact solutions of this model is analyzed to study the interaction between a line soliton and a y-periodic soliton. 相似文献
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In this paper we study the dynamics of a soliton in the generalized NLS with a small external potential ?V of Schwartz class. We prove that there exists an effective mechanical system describing the dynamics of the soliton and that, for any positive integer r, the energy of such a mechanical system is almost conserved up to times of order ??r. In the rotational invariant case we deduce that the true orbit of the soliton remains close to the mechanical one up to times of order ??r. 相似文献
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In this paper, bilinear form of a negative order AKNS equation hierarchy is given. The soliton solutions are obtained through Hiorta's direct method. 相似文献
13.
In this paper, bilinear form of a negative order AKNS equation hierarchy is given. The soliton solutions are obtained through Hiorta's direct method. 相似文献
14.
The (1+1)-dimensional F-expansion technique and the homogeneous nonlinear balance principle have been generalized and applied for solving exact solutions to a general (3+1)-dimensional nonlinear Schr6dinger equation (NLSE) with varying coefficients and a harmonica potential. We found that there exist two kinds of soliton solutions. The evolution features of exact solutions have been numerically studied. The (3+1)D soliton solutions may help us to understand the nonlinear wave propagation in the nonlinear media such as classical optical waves and the matter waves of the Bose-Einstein condensates. 相似文献
15.
DENG Shu-Fang 《理论物理通讯》2008,49(3):535-539
The soliton solutions for the nonisospeetral BKP equation are derived through Hirota method and Pfaffian technique. We also derive the bilinear Baeklund transformations for the isospectral and nonisospeetral BKP equation and find solutions with the help of the obtained bilinear Baeklund transformations. 相似文献
16.
We provide a detailed investigation of limits of N–soliton solutions of the Toda lattice as N tends to infinity. Our principal results yield new classes of Toda solutions including, in particular, new kinds of soliton–like
(i.e., reflectionless) solutions. As a byproduct we solve an inverse spectral problem for one–dimensional Jacobi operators
and explicitly construct tri–diagonal matrices that yield a purely absolutely continuous spectrum in (-1,1) and give rise
to an eigenvalue spectrum that includes any prescribed countable and bounded subset of .
Received: 16 October 1995/Accepted: 23 July 1996 相似文献
17.
Supriya Mukherjee A. Roy Chowdhury 《International Journal of Theoretical Physics》2003,42(12):2991-2998
A new integrable system describing the process of self-induced transparency with spatial dispersion is analyzed from the viewpoint of inverse scattering transform. The coupled set of Gelfand–Levitan equation is established and solved for one soliton solutions. The explicit structure of the solutions are exhibited graphically. 相似文献
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The dynanfics of a particle passing over the sad- dle point plays a crucial role in many branches of physics and chemistry.Previous studies on the saddle-point passing problem mostly considered par- ticles that are subjected to a random force. Noise- induced transport has been studied in many fields including mathematics, physics, chemistry, biology, and economics. A classic example is the fusion reaction of massive nuclei, in which the fusion is in- duced by diffusion. In previous works, the fusion probability was obtained by determining the passing probability of a Brownian particle over the top of an inverse harmonic potential. Great progress has been achieved by regarding the study of passing prob- lems since tile pioneering work published by Kramers. The simplest situation assumes a Brownian particle driven by white noise, which however is not satisfied due to the multiple spectral density of the realistic ran- dora force. One of the realistic models of random force is the Gaussian colored noise, which requires the study of the motion of a particle driven by structured noise, such as harmonic noise which can be generated by the coordinate of a harmonic oscillator driven by white noise. This type of colored noise allows the consideration of resonance phenomena due to the fact that a peak in its spectrum is presented here. 相似文献
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本文运用数值模拟的方法讨论在PT对称高斯势中孤子的散射问题,包括演化动力学,孤子振幅和质心位置的传输动力学以及PT对称高斯势对孤子单向散射特性的影响.结果表明在一定的参数范围内,单个孤子或孤子串的散射都能展现出单向流的特性,并且可以通过适当地调节PT对称高斯势的参数来实现孤子单向散射的操控. 相似文献