非规范博欣内斯克方程（Unnormalized Boussinesq equation）是一个非线性偏微分方程：

u_{tt}-\alpha(uu_{x})_{x}-\beta*u_{xxxx}=0

解析解
: u(x, t) = _C5^2/(_C4^2\alpha)-12\beta_C4^2WeierstrassP(_C3+_C4x+_C5t, _C2, _C1)/\alpha
: u(x, t) = -(-_C3^2+4\beta_C2^4)/(\alpha_C2^2)-12\beta_C2^2csch(_C1+_C2x+_C3t)^2/\alpha
: u(x, t) = -(-_C3^2+4\beta_C2^4)/(\alpha_C2^2)+12\beta_C2^2sech(_C1+_C2x+_C3t)^2/\alpha
: u(x, t) = -(-_C3^2+8\beta_C2^4)/(\alpha_C2^2)-12\beta_C2^2cot(_C1+_C2x+_C3t)^2/\alpha
: u(x, t) = -(-_C3^2+8\beta_C2^4)/(\alpha_C2^2)-12\beta_C2^2tan(_C1+_C2x+_C3t)^2/\alpha
: u(x, t) = (_C3^2+4\beta_C2^4)/(\alpha_C2^2)-12\beta_C2^2csc(_C1+_C2x+_C3t)^2/\alpha
: u(x, t) = (_C3^2+4\beta_C2^4)/(\alpha_C2^2)-12\beta_C2^2sec(_C1+_C2x+_C3t)^2/\alpha
: u(x, t) = (_C3^2+8\beta_C2^4)/(\alpha_C2^2)-12\beta_C2^2coth(_C1+_C2x+_C3t)^2/\alpha
: u(x, t) = (_C3^2+8\beta_C2^4)/(\alpha_C2^2)-12\beta_C2^2tanh(_C1+_C2x+_C3t)^2/\alpha
: u(x, t) = (-8\beta_C3^4+_C4^2+4\beta_C3^4_C1^2)/(\alpha_C3^2)+12\beta_C3^2JacobiDN(_C2+_C3x+_C4*t, _C1)^2/\alpha
: u(x, t) = (-8\beta_C3^4+_C4^2+4\beta_C3^4_C1^2)/(\alpha_C3^2)-12\beta_C3^2(-1+_C1^2)JacobiND(_C2+_C3x+_C4t, _C1)^2/\alpha
: u(x, t) = (4\beta_C3^4_C1^2+4\beta_C3^4+_C4^2)/(\alpha_C3^2)-12\beta_C3^2JacobiNS(_C2+_C3x+_C4*t, _C1)^2/\alpha
: u(x, t) = (4\beta_C3^4_C1^2+4\beta_C3^4+_C4^2)/(\alpha_C3^2)-12\beta_C3^2_C1^2JacobiSN(_C2+_C3x+_C4t, _C1)^2/\alpha
: u(x, t) = -(8\beta_C3^4_C1^2-_C4^2-4\beta_C3^4)/(\alpha_C3^2)+12\beta_C3^2_C1^2JacobiCN(_C2+_C3x+_C4t, _C1)^2/\alpha
: u(x, t) = -(8\beta_C3^4_C1^2-_C4^2-4\beta_C3^4)/(\alpha_C3^2)+12\beta_C3^2(-1+_C1^2)JacobiNC(_C2+_C3x+_C4t, _C1)^2/\alpha

行波图
参考文献

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