共查询到20条相似文献,搜索用时 125 毫秒
1.
2.
3.
4.
5.
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
6.
7.
8.
9.
本文基于Jacobi椭圆函数和Lamé方程,应用摄动法研究了非线性与立方非线性Schrodinger方程,获得了其新的多级包络周期解。这些解在极限条件下可以退化为各种形式的包络孤波解。 相似文献
10.
本文基于Jacobi椭圆函数和Lamé方程,应用摄动法研究了非线性与立方非线性Schrodinger方程,获得了其新的多级包络周期解。这些解在极限条件下可以退化为各种形式的包络孤波解。 相似文献
11.
By using the bifurcation theory and methods of dynamical systems to construct the exact travelling wave solutions for nonlinear
wave equations, some new soliton solutions, kink (anti-kink) solutions and periodic solutions with double period are obtained.
相似文献
12.
Asymptotes of solutions of a perfect fluid when coupled with a cosmological constant in four-dimensional spacetime with toroidal
symmetry are studied. In particular, it is found that the problem of self-similar solutions of the first kind for a fluid
with the equation of state, p = kρ, can be reduced to solving a master equation of the form,
For k = 0 and k = −1/3 the general solutions are obtained and their main local and global properties are studied in detail. 相似文献
13.
By applying the bifurcation theory of dynamical system to the generalized KP-BBM equation, the phase portraits of the travelling
wave system are obtained. It can be shown that singular straight line in the travelling wave system is the reason why smooth
periodic waves converge to periodic cusp waves. Under different parametric conditions, various sufficient conditions to guarantee
the existence of the above solutions are given. Some exact explicit parametric representations of the above waves are obtained.
相似文献
14.
利用变分迭代理论研究了一类广义Canard系统. 首先引入一组泛函,然后构造了原方程解的迭代关系式,最后得到了问题鸭解的近似解析式.
关键词:
鸭解
解析解
变分迭代 相似文献
15.
Maria V. Demina 《Physics letters. A》2010,374(39):4023-4029
Meromorphic traveling wave solutions of the Kawahara equation and the modified Kawahara equations are studied. An algorithm for constructing meromorphic solutions in explicit form is described. The classification problem for meromorphic solutions of autonomous nonlinear ordinary differential equations is discussed. 相似文献
16.
17.
ZHI Hong-Yan ZHAO Xue-Qin ZHANG Hong-Qing 《理论物理通讯》2005,44(4):597-603
In this paper, based on a new system of three Riccati equations, we give a new method to construct more new exact solutions of nonlinear differential equations in mathematical physics. The classical Boussinesq system is chosen to illustrate our method. As a consequence, more families of new exact solutions are obtained, which include solitary wave solutions and periodic solutions. 相似文献
18.
In this paper, based on a new system of three Riccati equations, we give a new method to construct more new exact solutions of nonlinear differential equations in mathematical physics. The classical Boussinesq system is chosen to illustrate our method. As a consequence, more families of new exact solutions are obtained, which include solitary wave solutions and periodic solutions. 相似文献
19.
New Multiple Soliton-like Solutions to (3+1)-Dimensional Burgers Equation with Variable Coefficients
CHEN Huai-Tang ZHANG Hong-Qing 《理论物理通讯》2004,42(10)
A new generalized tanh function method is used for constructing exact travelling wave solutions of nonlinear partial differential equations in a unified way. The main idea of this method is to take full advantage of the Riccati equation, which has more new solutions. More new multiple soliton-like solutions are obtained for the (3 1 )-dimensional Burgers equation with variable coefficients. 相似文献