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

Abstract

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.

Keywords

• Born–Mayer potential
• Solitons
• Travelling wave solutions