Solitary wave solution for the non-linear bending wave equation based on He’s variational method

Abstract

A beam vibration originating in the beam porous structure or on a non-smooth boundary might make its vibrating energy concentrated on a single wave, leading to a solitary wave. This paper applies the variational approach to analysis of the soliton basic property, and the effect of the fractal dimensions on the solitary wave is elucidated. This paper is to draw attention the beam soliton property be-yond its widely known resonance and periodic and chaotic properties.