排序方式: 共有43条查询结果,搜索用时 218 毫秒
1.
Soliton excitations and chaotic patterns for the (2+1)-dimensional Boiti-Leon-Pempinelli system 下载免费PDF全文
By improved projective equation approach and a linear variable separation approach, a new family of exact solutions of the (2+1)-dimensional Boiti-Leon-Pempinelli (BLP) system is derived. Based on the derived solitary wave solution, some dromion and solitoff excitations and chaotic behaviours are investigated. 相似文献
2.
Fusion,fission, and annihilation of complex waves for the(2+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff system 下载免费PDF全文
With the help of the symbolic computation system, Maple and Riccati equation( ξ= a0+ a1ξ+ a22ξ), expansion method, and a linear variable separation approach, a new family of exact solutions with q = lx + my + nt + Γ(x, y,t) for the(2+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff system(GCBS) are derived. Based on the derived solitary wave solution, some novel localized excitations such as fusion, fission, and annihilation of complex waves are investigated. 相似文献
3.
Fusion,fission, and annihilation of complex waves for the (2+l)-dimensional generalized Calogero-Bogoyavlenskii-Schiff system 下载免费PDF全文
With the help of the symbolic computation system, Maple and Riccati equation (ξ' = ao + a1ξ+ a2ξ2), expansion method, and a linear variable separation approach, a new family of exact solutions with q = lx + my + nt + Г(x,y, t) for the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff system (GCBS) are derived. Based on the derived solitary wave solution, some novel localized excitations such as fusion, fission, and annihilation of complex waves are investigated. 相似文献
4.
含高阶非线性效应的薛定谔方程的精确解研究 总被引:1,自引:0,他引:1
利用孤子理论,研究了含三次和五次非线性项的非线性薛定谔方程,在参数取不同值时得到了方程的新型亮孤子解、新型暗孤子解和新的三角函数周期解。 相似文献
5.
6.
映射法是一种非常经典、有效和成熟的求解非线性演化方程的方法,其最大的特点是可以有多种不同形式的设解,使得最终求得的解丰富多彩. 利用改进的 Riccati 方程映射法和变量分离法,得到了(2+1)维非对称 Nizhnik-Novikov-Veselov 系统的新显式精确解.根据得到的孤波解,构造出该系统的峰孤子和分形孤子等局域结构,研究了两个孤立波的“追碰”现象.
关键词:
改进的映射法
(2+1)维非对称 Nizhnik-Novikov-Veselov 系统
局域结构
“追碰”现象 相似文献
7.
By using the (G'/G)-expansion method and the variable separation method, a new family of exact solutions of the (3+1)-dimensional Jimbo-Miwa system is obtained. Based on the derived solitary wave solutions, we obtain some special localized excitations and study the interactions between two solitary waves of the system. 相似文献
8.
9.
In this paper,by means of similarity transfomations,we obtain explicit solutions to the cubic-quintic nonlinear Schrdinger equation with varying coefficients,which involve four free functions of space.Four types of free functions are chosen to exhibit the corresponding nonlinear wave propagations. 相似文献