Wave Propagation in Nonlinear Lattice. II

Abstract

It is shown that a nonlinear partial differential equation u t +6α u u x + 6β u 2 u x + u x x x =0 can be solved exactly by "inverse method". In particular, the exact N -soliton solution is obtained which describes the collision processes among N solitons. It is found that N -soliton collision in the equation is essentially the same as those in the Korteweg-de Vries equation and the Modified Korteweg-de Vries equation; N -soliton collision is described as the successive collisions of two solitons and there is no effect of multiparticle collisions.