共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper the one-dimensional Dirac equation with linear
potential has been solved by the method of canonical transformation.
The bound-state wavefunctions and the corresponding energy spectrum
have been obtained for all bound states. 相似文献
2.
Exact solution of the one-dimensional Klein-Gordon equation with scalar and vector linear potentials in the presence of a minimal length 下载免费PDF全文
Using the momentum space representation, we solve the Klein-Gordon equation in one spatial dimension for the case of mixed scalar and vector linear potentials in the context of deformed quantum mechanics characterized by a finite minimal uncertainty in position. The expressions of bound state energies and the associated wave functions are exactly obtained. 相似文献
3.
本文利用广义条件对称方法对带源项的变系数非线性反应扩散方程 f(x)ut=(g(x)D(u)ux)x+h(x)P(u)ux+q(x)Q(u)进行研究. 当扩散项D(u)取um (m≠-1,0,1)和eu两种重要情形时, 对该方程进行对称约化,得到了具有广义泛函分离变量形式的精确解. 这些精确解包含了该方程对应常系数情况下的解.
关键词:
广义条件对称
精确解
非线性反应扩散方程 相似文献
4.
5.
6.
7.
8.
A new method of new exact solutions and solitary wave-like solutions for the generalized variable coefficients Kadomtsev——Petviashvili equation 总被引:1,自引:0,他引:1 下载免费PDF全文
Using the solution of general Korteweg--de Vries (KdV) equation, the solutions of
the generalized variable coefficient Kadomtsev--Petviashvili (KP) equation are
constructed, and then its new solitary wave-like solution and Jacobi elliptic
function solution are obtained. 相似文献
9.
Yan-Ze Peng 《Pramana》2005,64(2):159-169
The extended mapping method with symbolic computation is developed to obtain exact periodic wave solutions to the generalized
Nizhnik-Novikov-Veselov equation. Limit cases are studied and new solitary wave solutions and triangular periodic wave solutions
are obtained. The method is applicable to a large variety of non-linear partial differential equations, as long as odd-and
even-order derivative terms do not coexist in the equation under consideration. 相似文献
10.
11.
12.
In this paper, we present a method to solve difference differential equation(s). As an example, we apply
this method to discrete KdV equation and Ablowitz-Ladik lattice
equation. As a result, many exact solutions are obtained with the
help of Maple including soliton solutions presented by hyperbolic
functions sinh and cosh, periodic solutions presented by
sin and cos and rational solutions. This method can also be
used to other nonlinear difference-differential equation(s). 相似文献
13.
14.
In this paper, we present a combination method of constructing the
explicit and exact solutions of nonlinear partial differential
equations. And as an illustrative example, we apply the method to
the Benney-Kawahara-Lin equation and derive its many explicit and
exact solutions which are all new solutions. 相似文献
15.
16.
17.
18.
19.
本文为了构造非线性发展方程的无穷序列尖峰精确解,给出了Riccati方程的Bäcklund 变换和解的非线性叠加公式,并借助符号计算系统Mathematica,用Degasperis-Procesi方程为应用实例,构造了无穷序列尖峰孤立波解和无穷序列尖峰周期解.
关键词:
Riccati方程
解的非线性叠加公式
尖峰孤立波解
Degasperis-Procesi 方程 相似文献