一类长短波方程的孤子解和椭圆周期解  

The Solution and Elliptical Periodic Solution for a Class of the System of LS Nonlinear Equation

作　　者：陈玲[1] 杜先云[1] 

机构地区：[1]绵阳师范高等专科学校数学系,四川绵阳621000

出　　处：《四川师范大学学报（自然科学版）》2003年第1期38-40,共3页Journal of Sichuan Normal University（Natural Science）

摘　　要：得到了一类长短波方程iSi+Sxx-LS+β(｜S｜2-ω2)S=0,Li+(｜S｜2)x=0的孤子解和椭圆周期解精确表达式,并且分析了孤子解的特征.特别地,指出了该类长短波既存在明孤子解,又存在暗孤子解.In this paper, the explicit form of the soliton and elliptical periodic solutions for a class of the system of LS nonlinear wave equation are given and the features of the soliton solutions are analyzed. In particular, it is pointed out that the system (LS) has both 'bright' and 'dark' soliton solution.

关 键 词：椭圆周期解 长短波方程 孤子解 同宿轨道 异宿轨道 非线性方程 

分 类 号：O175.29[理学—数学] O241.82[理学—基础数学]