安徽大学学报(自然科学版)
安徽大學學報(自然科學版)
안휘대학학보(자연과학판)
JOURNAL OF ANHUI UNIVERSITY(NATURAL SCIENCES EDITION)
2011年
3期
39-47
,共9页
辅助方程法%广义RKL方程%新的孤波解
輔助方程法%廣義RKL方程%新的孤波解
보조방정법%엄의RKL방정%신적고파해
the auxiliary equation method%the generalized RKL equation%the new soliton solution
广义的RKL方程能够较好表述光子在光纤传输过程中一般特征,作者利用辅助方程法并借助计算机辅助程序构建更多的RKL方程一般精确解,结果发现这个方程的一些新孤波解.另外此方法也可用来研究其他非线性发展方程并获取新的孤波解.
廣義的RKL方程能夠較好錶述光子在光纖傳輸過程中一般特徵,作者利用輔助方程法併藉助計算機輔助程序構建更多的RKL方程一般精確解,結果髮現這箇方程的一些新孤波解.另外此方法也可用來研究其他非線性髮展方程併穫取新的孤波解.
엄의적RKL방정능구교호표술광자재광섬전수과정중일반특정,작자이용보조방정법병차조계산궤보조정서구건경다적RKL방정일반정학해,결과발현저개방정적일사신고파해.령외차방법야가용래연구기타비선성발전방정병획취신적고파해.
It is known that the generalized RKL equation can better express the process of photons in the general characteristics of optical fiber transmission. Auxiliary equation method was proposed for constructing more general exact solutions of the generalized RKL equation with the aid of symbolic computation. As a result, some new and more soliton solutions, were obtained for the equation, which could not be found in previous work. In addition, this method also could be used to find new solit on solution of other nonlinear equations.