Convergence of the solutions of the BBM-KP and the BBM model equations
  It is shown that the solution of the Cauchy problem for the BBM-KP equation converges to the solution of the Cauchy problem for the BBM equation in a suitable function space whenever the initial data for both equations are close as the transverse variable $y \rightarrow \pm \infty$. 
Jacob B. Aguilar and Michael M. Tom
math.AP math-ph math.MP