Analysis of BBM solitary wave interactions using the conserved quantities

In this paper, a simple, robust, fast and effective method based on the conserved quantities is developed to approximate analyse shape, structure interaction characters of solitary waves described by Benjamin–Bona–Mahony (BBM) equation. Due invariant character quantities, there no need solve related complex nonlinear partial differential BBM equation simulate interactions between at most merging instance. Good accuracy proposed has been found when compared with numerical for wave different initial incoming shapes. The quantity in work can serve as an ideal tool benchmark solvers, perform stability analysis, interacting phenomena waves.