Soliton solution in nonlinear lattice with nearest neighbour Born-Mayer interaction

We study the dynamics of one-dimensional uniform lattice with the interatomic Born-Mayer potential. The travelling wave solutions such as solitons are analytically described. The wave propagation in the one-dimensional lattice where nearest neighbour atoms interact via the Born-Mayer potential is considered. The Born-Mayer lattice admits travelling wave type solutions represented by Jacobian elliptic functions and limiting form of such a wave solution is the localized pulse-like form called the solitary wave. This solitary wave has further remarkable properties under collision, leading to the concept of solitons in nonlinear discrete lattices which has been studied.