Elbow Scattering and Boundary Value Problems of NLPDE

2001 Journal of Nonlinear Mathematical Physics  
We use Lax equations to define a scattering problem on an infinite elbow shaped line of the (x, t) plane. The evolution of scattering coefficients when the elbow is translated in the plane shows how convenient scannings may reconstruct the solution V (x, t) of the nonlinear equation associated to the Lax pair. It also helps us understanding why this can work only if strong consistency conditions, related to the asymptotic behaviors of V, are satisfied by the boundary values.
doi:10.2991/jnmp.2001.8.supplement.43 fatcat:4om4vuiiefampjcv76nkzgwxbq