用双线性形式求得sine-Gordon方程新的精确解  

New Exact Solutions to Sine-Gordon Equation by Bilinear Form

作　　者：杨琼芬[1] 唐再良[1] 罗守双[1] 

机构地区：[1]绵阳师范学院数学与计算机科学学院,四川绵阳621000

出　　处：《绵阳师范学院学报》2015年第11期12-14,29,共4页Journal of Mianyang Teachers＇ College

基　　金：绵阳师院校级课题(2013A11)

摘　　要：本文以齐次平衡原则和试探函数法为基础,利用函数变换与双线性算子相结合的方法,推出了sineGordon方程的双线性形式,构造了sine-Gordon方程新的精确解,包括新的孤立子解.Based on the homogeneous balance principle and the trial function,using the method of combining the function transformation with bilinear operator,the bilinear form of sine-Gordon equation was obtained in this paper,and its new exact solutions were also constructed,including the new soliton solution.

关 键 词：SINE-GORDON方程 齐次平衡原则 双线性算子 

分 类 号：O175.2[理学—数学]