查看“︁七阶KdV方程”︁的源代码

'''七阶KdV方程'''（Seventh order  KdV equation），是一个非线性偏微分方程：<ref>Andrei D. Polyanin,Valentin F. Zaitsev, HANDBOOK OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, SECOND EDITION p1040 CRC PRESS</ref>
<math>U[t]+6*U*U[x]+U[x,x,x]-U[x,x,x,x,x]+\alpha*U[x,x,x,x,x,x,x,x,x]=0</math>

其中

U[t] 代表 <math>\frac{\partial  u(x,t)}{\partial t}</math>

U[x,x,x] 代表 <math>\frac{\partial^3  u(x,t)}{\partial x^3}</math>

其余类推。

==行波图==
{|
|[[File:Seventh order KdV equation traveling wave plot 1.gif|thumb|七阶KdV方程行波图1]]
|[[File:Seventh order KdV equation traveling wave plot 2.gif|thumb|七阶KdV方程行波图2]]
|[[File:Seventh order KdV equation traveling wave plot 3.gif|thumb|七阶KdV方程行波图3]]
|[[File:Seventh order KdV equation traveling wave plot 4.gif|thumb|七阶KdV方程行波图4]]
|}
{|
|[[File:Seventh order KdV equation traveling wave plot 5.gif|thumb|七阶KdV方程行波图5]]
|[[File:Seventh order KdV equation traveling wave plot 6.gif|thumb|七阶KdV方程行波图6]]
|[[File:Seventh order KdV equation traveling wave plot 7.gif|thumb|七阶KdV方程行波图7]]
|[[File:Seventh order KdV equation traveling wave plot 8.gif|thumb|七阶KdV方程行波图8]]
|}
{|
|[[File:Seventh order KdV equation traveling wave plot 9.gif|thumb|七阶KdV方程行波图9]]
|[[File:Seventh order KdV equation traveling wave plot 10.gif|thumb|七阶KdV方程行波图10]]
|[[File:Seventh order KdV equation traveling wave plot 11.gif|thumb|七阶KdV方程行波图11]]
|[[File:Seventh order KdV equation traveling wave plot 12.gif|thumb|七阶KdV方程行波图12]]
|}

==参考文献==
<references/>
# *谷超豪 《[[孤立子]]理论中的[[达布变换]]及其几何应用》 上海科学技术出版社
# *阎振亚著 《复杂非线性波的构造性理论及其应用》 科学出版社 2007年
# 李志斌编著 《非线性数学物理方程的行波解》 科学出版社
#王东明著 《消去法及其应用》 科学出版社 2002
# *何青 王丽芬编著 《[[Maple]] 教程》 科学出版社 2010 ISBN 9787030177445
#Graham W. Griffiths William E.Shiesser Traveling Wave Analysis of Partial Differential p135 Equations Academy Press
# Richard H. Enns George C. McCGuire, Nonlinear Physics Birkhauser,1997
#Inna Shingareva, Carlos Lizárraga-Celaya,Solving Nonlinear Partial Differential Equations with Maple Springer.
#Eryk Infeld and George Rowlands,Nonlinear Waves,Solitons and Chaos,Cambridge 2000
#Saber Elaydi,An Introduction to Difference Equationns, Springer 2000
#Dongming Wang, Elimination Practice,Imperial College Press 2004
# David Betounes, Partial Differential Equations for Computational Science: With Maple and Vector Analysis Springer, 1998 ISBN 9780387983004
# George Articolo Partial Differential Equations & Boundary Value Problems with Maple V Academic Press 1998 ISBN 9780120644759

{{非线性偏微分方程}}
[[category:非线性偏微分方程]]