# 艾克豪斯方程

${\displaystyle u(x,y,t)_{t}+v(x,t)_{x}+1.0*u(x,y,t)*(u(x,y,t)_{x})=0}$

${\displaystyle v(x,t)_{xt}+u(x,y,t)_{xx}*v(x,t)+2*u(x,y,t)_{x}*v(x,t)_{x}+u(x,y,t)*(v(x,t)_{xx}+u(x,y,t)_{xx}+u(x,y,t)_{xxxx}+u(x,y,t)_{yy}=0}$

## 行波解

Eckhaus 方程具有一批行波解：

## 参考文献

1. ^ N. Taghizadeha, M. Mirzazadeha, or, Filiz Tascanb：The first-integral method applied to the Eckhaus equation,Applied Mathematics Letters,Volume 25, Issue 5, May 2012, Pages 798–802
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