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构造非线性偏微分方程高阶守恒律的直接法

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Indexed by:期刊论文

Date of Publication:2011-03-15

Journal:大连理工大学学报

Included Journals:PKU、ISTIC、CSCD、EI、Scopus

Volume:51

Issue:2

Page Number:304-308

ISSN No.:1000-8608

Key Words:守恒律;Caudrey-Dodd-Gibbon-Sawada-Kotera方程;(2+1)-维Burgers方程;Boiti-Leon-Manna-Pempinelli方程;It(ǒ)方程组

Abstract:提出了构造非线性偏微分方程高阶守恒律的直接法并在Maple上实现,算法易操作,效率高.作为算法的应用,考虑了许多高维非线性偏微分方程,如Caudrey-Dodd-GibbonSawada-Kotera方程、Boiti-Leon-Manna-Pempinelli方程和(2+1)-维Burgers方程以及It(o)方程组,得到了它们的新的高阶守恒律.该算法还可用于构造更高维更高阶的守恒律,亦可推广至微分-差分方程(组).

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