共查询到20条相似文献,搜索用时 625 毫秒
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给出了具有Kratzer型标量势与矢量势的Klein-Gordon方程和Dirac方程的s波束缚态解. 相似文献
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Wood-Saxon势中相对论粒子的束缚态 总被引:1,自引:1,他引:0
陈刚 《原子与分子物理学报》2003,20(4):456-460
给出了具有Wood-Saxon型标量势与矢量势的Klein-Gordon方程和Dirac方程的s波束缚态解. 相似文献
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给出了具有Poschl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程的s波束缚态解. 相似文献
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给出了具P?schl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程的s波束缚态解.
关键词:
P?schl-Teller势
Klein-Gordon方程
Dirac方程
束缚态 相似文献
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给出了具有P schl Teller型标量势与矢量势的Klein Gordon方程和Dirac方程的s波束缚态解 . 相似文献
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LIU Cheng-Shi 《理论物理通讯》2006,45(2):219-223
A trial equation method to nonlinear evolution equation
with rank inhomogeneous is given. As applications, the exact
traveling wave solutions to some higher-order nonlinear equations
such as generalized Boussinesq equation, generalized Pochhammer-Chree
equation, KdV-Burgers equation, and KS equation and so on, are
obtained. Among these, some results are new. The proposed method is
based on the idea of reduction of the order of ODE. Some mathematical
details of the proposed method are discussed. 相似文献
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In this letter, the modified Jacob/elliptic function expansion method is extended to solve M-coupled KdV equation, M-coupled Ito equation, vKdV equation, and AKNS equation. Some new Jacob/elliptic function solutions are obtained by using Mathematica. When the modulus m→1, those periodic solutions degenerate as the corresponding soliton solutions. 相似文献
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Some new exact solutions of the generalized Lienard equation are obtained, and the solutions of the equation are applied to
solve nonlinear wave equations with nonlinear terms of any order directly. The generalized one-dimensional Klein-Gordon equation,
the generalized Ablowitz (A) equation and the generalized Gerdjikov-Ivanov (GI) equation are investigated and abundant new
exact travelling wave solutions are obtained that include solitary wave solutions and triangular periodic wave solutions.
相似文献
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A class of nonlinear Schrödinger-type equations, including the Rangwala-Rao equation, the Gerdjikov-Ivanov equation, the Chen-Lee-Lin equation and the Ablowitz-Ramani-Segur equation are investigated, and the exact solutions are derived with the aid of the homogeneous balance principle, and a set of subsidiary higher order ordinary differential equations (sub-ODEs for short). 相似文献
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In this paper, the Fisher equation is analysed. One of its travelling wave solution
is obtained by comparing it with KdV--Burgers (KdVB) equation. Its amplitude, width
and speed are investigated. The instability for the higher order disturbances to the
solution of the Fisher equation is also studied. 相似文献
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Akira Onuki 《Journal of statistical physics》1978,19(4):325-332
A general master equation is shown to be equivalent to a Langevin equation whose noise is expressed as a linear superposition of Poissonian random variables (multi-Poissonian noise). As typical examples, a birth and death process and a Boltzmann-Langevin equation are given. 相似文献
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The Camassa-Holm equation, Degasperis-Procesi equation and Novikov equation are the three typical integrable evolution equations admitting peaked solitons. In this paper, a generalized Novikov equation with cubic and quadratic nonlinearities is studied, which is regarded as a generalization of these three well-known studied equations. It is shown that this equation admits single peaked traveling wave solutions, periodic peaked traveling wave solutions, and multi-peaked traveling wave solutions. 相似文献
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LIU Chun-Ping 《理论物理通讯》2011,56(2):223-227
A modified homogeneous balance method is proposed by improving some key steps in the homogeneous balance method. Bilinear equations of some nonlinear evolution equations are derived by using the modified homogeneous balance method. Generalized Boussinesq equation, KP equation, and mKdV equation are chosen as examples to llustrate our method. This approach is also applicable to a large variety of nonlinear evolution equations. 相似文献
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New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov--Kuzentsov equation 总被引:2,自引:0,他引:2
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In this paper,
based on hyperbolic tanh-function method and homogeneous balance
method, and auxiliary equation method, some new exact solitary
solutions to the generalized mKdV equation and generalized
Zakharov--Kuzentsov equation are constructed by the method of
auxiliary equation with function transformation with aid of
symbolic computation system Mathematica. The method is of important
significance in seeking new exact solutions to the evolution
equation with arbitrary nonlinear term. 相似文献
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In this paper, we first consider
exact solutions for Lienard equation
with nonlinear terms of any order.
Then, explicit exact bell and kink profile solitary-wave solutions
for many nonlinear evolution equations are obtained by means of
results of the Lienard equation and proper deductions, which transform
original partial differential equations into the Lienard one.
These nonlinear equations include compound KdV, compound KdV-Burgers,
generalized Boussinesq, generalized KP and Ginzburg-Landau
equation. Some new solitary-wave solutions are found. 相似文献