数理化科学

混合AKNS-CLL方程的N-孤子解

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  • 上海大学理学院, 上海200444
夏铁成(1960—), 男, 教授, 博士生导师, 研究方向为孤子与可积系统.

收稿日期: 2014-06-23

  网络出版日期: 2015-12-29

基金资助

国家自然科学基金资助项目(11271008)

N-soliton solutions of combined AKNS-CLL equation

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2014-06-23

  Online published: 2015-12-29

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Schrödinger方程的N-孤子解.

本文引用格式

潘红飞, 夏铁成 . 混合AKNS-CLL方程的N-孤子解[J]. 上海大学学报(自然科学版), 2015 , 21(6) : 709 -716 . DOI: 10.3969/j.issn.1007-2861.2014.04.002

Abstract

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 Schr¨odinger equation are obtained by reduction.
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