title: Broer–Kaup equations
text: # Broer–Kaup equations
  
  The Broer–Kaup equations are a set of two coupled nonlinear partial differential equations:
  
      $u_{y,t}+(2uu_{x})_{x}+2v_{xx}-u_{xxy}=0$
      $v_{t}+2(vu)_{x}+v_{xx}=0$
  