共查询到17条相似文献,搜索用时 71 毫秒
1.
2.
本文利用F 展开法 ,求出了立方非线性Schr dinger方程的由Jacobi椭圆函数表示的行波解 ;并且在极限情况下 ,得到了方程的孤波解 相似文献
3.
4.
5.
6.
用修正的影射法解非线性薛定谔方程,得到了一些新的Jacobi椭圆函数展开解.
关键词:
Jacobi椭圆函数
非线性薛定谔方程
修正影射法
行波解 相似文献
7.
通过把十二个Jacobi椭圆函数分类成四组,提出了新的广泛的Jacobi椭圆函数展开法,利用这一方法求得了非线性发展方程的丰富的Jacobi椭圆函数双周期解.当模数m→0或1时,这些解退化为相应的三角函数解或孤立波解和冲击波解.
关键词:
非线性发展方程
Jacobi椭圆函数
双周期解
行波解 相似文献
8.
弱色散非线性波动方程的孤波解和Jacobi椭圆函数解 总被引:2,自引:2,他引:0
应用影射法解传输线中弱色散非线性波动方程,得到了孤波解和Jacobi椭圆函数解,并用Matlab绘图加以说明. 相似文献
9.
闻小永 《原子与分子物理学报》2007,24(6):1171-1175
通过函数变换和扩展Jacobi椭圆函数展开法,利用吴消元法,借助符号运算软件Maple,得到非线性Schringer方程丰富的包络形式精确解,特别是由两个Jacobi椭圆函数表示的精确解.当模数m→1或m→0时,一部分解退化为双曲函数或三角函数表示的解,F-展开法和扩展的F-展开法得到的精确解是本文结果的特例. 相似文献
10.
立方非线性Schrodinger方程的Jacobi椭圆函数周期解 总被引:4,自引:3,他引:4
本文利用F-展开法,求出了立方非线性Schrodinger方程的由Jacobi椭圆函数表示的行波解;并且在极限情况下,得到了方程的孤波解. 相似文献
11.
12.
13.
Construction of doubly-periodic solutions to nonlinear partial differential equations using improved Jacobi elliptic function expansion method and symbolic computation 总被引:2,自引:0,他引:2 下载免费PDF全文
Some doubly-periodic solutions of the Zakharov--Kuznetsov equation are
presented.
Our approach is
to introduce an auxiliary ordinary differential equation and use its Jacobi elliptic function
solutions to construct doubly-periodic solutions of the Zakharov--Kuznetsov
equation, which has been derived by Gottwald as a two-dimensional model for
nonlinear Rossby waves. When the modulus k \rightarrow 1, these solutions reduce
to the solitary wave solutions of the equation. 相似文献
14.
With the aid of computerized symbolic computation, a new elliptic function rational expansion method is presented by means of a new general ansatz, in which periodic solutions of nonlinear partial differential equations that can be expressed as a finite Laurent series of some of 12 Jacobi elliptic functions, is more powerful than exiting Jacobi elliptic function methods and is very powerful to uniformly construct more new exact periodic solutions in terms of rational formal Jacobi elliptic function solution of nonlinear partial differential equations. As an application of the method, we choose a (2+1)-dimensional dispersive long wave equation to illustrate the method. As a result, we can successfully obtain the solutions found by most existing Jacobi elliptic function methods and find other new and more general solutions at the same time. Of course, more shock wave solutions or solitary wave solutions can be gotten at their limit condition. 相似文献
15.
16.