Bäcklund Transformation for Equation of Motion for Nonlinear Lattice under Weak Dislocation Potential

Abstract

The Bäcklund transformation for the equation of the motion for the nonlinear lattice under the influence of the weak dislocation potential is discussed. It is found that Bäcklund transformation is derived from Riccati form of inverse method and that a recursion formula to obtain a ladder of kind solutions is constructed. An infinite number of conservation laws is obtained.