一种利用守恒定律求解孤子波参数的方法  

A method of solving solitons by conservation laws

作　　者：张新悦[1] 

机构地区：[1]山东大学数学学院,山东济南250011

出　　处：《信息技术与信息化》2015年第6期154-156,共3页Information Technology and Informatization

摘　　要：本文首先介绍了KdV方程的背景,给出了KdV方程的孤子解和KdV方程中守恒定律无穷性的简要证明。其次,给出了利用守恒量估计孤波参数的方法,该方法克服了逆散射方法的局限性。最后,用实例分析比较了KdV方程初值问题的数值解和估值,表明此种估计方法是准确的。In this article, the background of the Kd V Equation will be introduced first, the solitary wave solution to the Kd V equation and the proof of the infinity of conservation laws will be presented. Then, how parameters of solitons can be found approximately using conservation laws will be discussed. This method overcome the limitation from the inverse scattering method. Finally, in one case, we compare the analytical estimates with numerical results.

关 键 词：KDV方程 孤子波 孤子波解 守恒定律 守恒量 

分 类 号：O175.29[理学—数学]