艾克豪斯方程(Eckhaus equation)是一个模拟色散介质中长波传播的二元非线性偏微分方程组.

u(x, y, t)_t+v(x, t)_x+1.0u(x, y, t)(u(x, y, t)_x) = 0

v(x, t)_{xt}+u(x, y, t)_{xx}v(x, t)+2u(x, y, t)_xv(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

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