五阶色散KdV方程(Fifth order dispersion KdV equation)是一个非线性偏微分方程：。

u_{t}+\alphauu_{x}+\beta*u_{xxx}+u_{xxxxx}=0

解析解
: u(x, t) = -(_C4+1008_C3^5)/(\alpha_C3)+3360_C3^4JacobiCN(_C2+_C3x+_C4t, I)^2/\alpha-1680_C3^4JacobiCN(_C2+_C3x+_C4t, I)^4/\alpha
: u(x, t) = -(_C4+1008_C3^5)/(\alpha_C3)+6720_C3^4JacobiCN(_C2+_C3x+_C4t, \sqrt(2))^2/\alpha-6720_C3^4JacobiCN(_C2+_C3x+_C4t, \sqrt(2))^4/\alpha
: u(x, t) = -(_C4+1008_C3^5)/(\alpha_C3)+3360_C3^4JacobiDN(_C2+_C3x+_C4t, I)^2/\alpha-1680_C3^4JacobiDN(_C2+_C3x+_C4t, I)^4/\alpha
: u(x, t) = -(_C4+1008_C3^5)/(\alpha_C3)+6720_C3^4JacobiNC(_C2+_C3x+_C4t, I)^2/\alpha-6720_C3^4JacobiNC(_C2+_C3x+_C4t, I)^4/\alpha
: u(x, t) = -(_C4+1008_C3^5)/(\alpha_C3)+3360_C3^4JacobiNC(_C2+_C3x+_C4t, \sqrt(2))^2/\alpha-1680_C3^4JacobiNC(_C2+_C3x+_C4t, \sqrt(2))^4/\alpha
: u(x, t) = -(_C4+1008_C3^5)/(\alpha_C3)+6720_C3^4JacobiND(_C2+_C3x+_C4t, I)^2/\alpha-6720_C3^4JacobiND(_C2+_C3x+_C4t, I)^4/\alpha
: u(x, t) = -(_C4+1008_C3^5)/(\alpha_C3)+3360_C3^4JacobiNS(_C2+_C3x+_C4t, \sqrt(2))^2/\alpha-1680_C3^4JacobiNS(_C2+_C3x+_C4t, \sqrt(2))^4/\alpha
: u(x, t) = -(_C4+1008_C3^5)/(\alpha_C3)+6720_C3^4JacobiSN(_C2+_C3x+_C4t, \sqrt(2))^2/\alpha-6720_C3^4JacobiSN(_C2+_C3x+_C4t, \sqrt(2))^4/\alpha
: u(x, t) = -(252_C3^5+_C4)/(\alpha_C3)+1680_C3^4JacobiDN(_C2+_C3x+_C4t, (1/2)\sqrt(2))^2/\alpha-1680_C3^4JacobiDN(_C2+_C3x+_C4t, (1/2)\sqrt(2))^4/\alpha
: u(x, t) = -(252_C3^5+_C4)/(\alpha_C3)+840_C3^4JacobiND(_C2+_C3x+_C4t, (1/2)\sqrt(2))^2/\alpha-420_C3^4JacobiND(_C2+_C3x+_C4t, (1/2)\sqrt(2))^4/\alpha
: u(x, t) = -(252_C3^5+_C4)/(\alpha_C3)+1680_C3^4JacobiNS(_C2+_C3x+_C4t, (1/2)\sqrt(2))^2/\alpha-1680_C3^4JacobiNS(_C2+_C3x+_C4t, (1/2)\sqrt(2))^4/\alpha
: u(x, t) = -(252_C3^5+_C4)/(\alpha_C3)+840_C3^4JacobiSN(_C2+_C3x+_C4t, (1/2)\sqrt(2))^2/\alpha-420_C3^4JacobiSN(_C2+_C3x+_C4t, (1/2)\sqrt(2))^4/\alpha

行波图
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