一类新型浅水波方程的反散射逼近  

Inverse scattering approach of a new class of integrable equation

作　　者：居琳[1] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003

出　　处：《江苏科技大学学报（自然科学版）》2010年第5期514-517,共4页Journal of Jiangsu University of Science and Technology:Natural Science Edition

摘　　要：研究了一类新的可积型浅水波方程即Dullin-Gottwald-Holm(DGH)方程的反散射逼近问题.通过一种逼近法为DGH方程的反散射问题提供了一种新的计算上更为简单的算法,即将初始位势的计算转化为求解一个线性积分方程和一个反函数;最后以具体例题演示了此算法,完善了DGH方程的反散射问题.Inverse scattering approach was studied for a new integrable shallow water wave equation named Dullin-Gottwald-Holm equation（i.e.DGH equation）.An alternative approach,which provided a more convenient algorithm for inverse scattering problem,was proposed.In this algorithm,the initial potential was amounted by solving a linear integrable equation and an inverse function.Some computing examples show the applicability of the new approaches.

关 键 词：DGH方程 反散射方法 反散射逼近 

分 类 号：O175.24[理学—数学]