混合AKNS-CLL方程的N-孤子解  

N-soliton solutions of combined AKNS-CLL equation

作　　者：潘红飞[1] 夏铁成[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《上海大学学报（自然科学版）》2015年第6期709-716,共8页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11271008)

摘　　要：由Hirota方法推导出混合AKNS-CLL方程的双线性导数方程和N-孤子解,并比较混合AKNS-CLL方程、AKNS方程和CLL方程的单孤子解|q|和|r|的图像,可以发现混合AKNS-CLL方程的特征形状不同于经典AKNS和CLL方程解.最后,通过约化,得到混合非线性Schrdinger方程的N-孤子解.The bilinear form and N-soliton solutions are derived for a combined AKNSCLL equation using the Hirota approach. These solutions are novel in general. The one-soliton solutions of the combined AKNS-CLL equation, AKNS equation and CLL equation were drawn. Also, the combined AKNS-CLL equation is given a different characteristic from the classical AKNS and CLL equations. The bilinear form and N-soliton solutions of combined nonlinear Schrodinger equation are obtained by reduction.

关 键 词：混合AKNS-CLL方程 混合非线性Schrodinger方程 N-孤子解 HIROTA方法 

分 类 号：O175.2[理学—数学]