一类Zakharov-Kuznestov方程解的正则性

数学季刊 ›› 2004, Vol. 19 ›› Issue (2): 192-197.

一类Zakharov-Kuznestov方程解的正则性

Department of Mathematics, Jiaozuo University, Jiaozuo 454001, China

收稿日期:2003-10-09 出版日期:2004-06-30 发布日期:2024-03-20
作者简介:MA Yun-xin(1956-),male,native of Luoyang,Henan,an associate professor of Jiaozuo Univer- sity,engages in nonlinear analysis.

Regularity of Solution for a Class Zakharov-Kuznestov Equation

Department of Mathematics, Jiaozuo University, Jiaozuo 454001, China

Received:2003-10-09 Online:2004-06-30 Published:2024-03-20
About author:MA Yun-xin(1956-),male,native of Luoyang,Henan,an associate professor of Jiaozuo Univer- sity,engages in nonlinear analysis.

摘要/Abstract

摘要： In this paper, we consider the regularity of solution in S for Zakharov-Kuznestov equation in H^s(s > 2). Meanwhile, by method of undetermined coefficient we prove that there don’t exist and conservative integral include 2 order of higher order derived functions.

关键词: Z-K equation, Cauchy problem, conservative quantity, Plainleve property

Key words: Z-K equation, Cauchy problem, conservative quantity, Plainleve property

中图分类号:

O175

马韵新, 郭田芬. 一类Zakharov-Kuznestov方程解的正则性[J]. 数学季刊, 2004, 19(2): 192-197.

MA Yun-xin, GUO Tian-fen. Regularity of Solution for a Class Zakharov-Kuznestov Equation[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(2): 192-197.

[1]	苏兴 , 曹洁 , 张建林. 二维空间中非线性 Boussinesq 方程的持续正则性[J]. 数学季刊, 2016, 31(1): 102-110.
[2]	金翠连. 一类非齐次拟线性双曲方程组整体经典解的存在性[J]. 数学季刊, 2010, 25(4): 589-600.
[3]	霍振宏, 李海峰. 一般非线性渗流方程广义解的存在唯一性与Blow-up[J]. 数学季刊, 2008, 23(2): 301-308.
[4]	郭基风, 李红. 一类双色散波方程的Cauchy问题[J]. 数学季刊, 2007, 22(3): 415-425.
[5]	宋长明, 孔德兴. 关于一类具阻尼项的非线性波方程的 Cauchy问题[J]. 数学季刊, 2005, 20(2): 111-120.
[6]	胡越, 邓继恩, 唐刚. The Existential and Uniqueness of Solution for Zakharov-kuznestov Equation[J]. 数学季刊, 1998, 13(4): 70-76.
[7]	张升海 . 抽象Cauchy问题的积分解[J]. 数学季刊, 1997, 12(2): 24-28.