title: Unnormalized modified KdV equation
text: # Unnormalized modified KdV equation
  
  The unnormalized modified Korteweg–de Vries (KdV) equation is an integrable nonlinear partial differential equation：
  
      $u_{t}+u_{xxx}+\alpha u^{2}u_{x}=0\,$
  
  where $\alpha$ is an arbitrary (nonzero) constant. See also Korteweg–de Vries equation.
  
  This is a special case of the Gardner equation.
  
  