Dispersion-Managed Lump Waves in a Spatial Symmetric KP Model

Abstract

This paper aims to explore dispersion-managed lump waves in a spatial symmetric KP model. Negative second-order linear dispersive terms play an important role in creating lump waves with the nonlinearity in the model. The starting point is a Hirota bilinear form with an ansatz on quadratic function solutions to the corresponding Hirota bilinear equation. Symbolic computation with Maple is conducted to determine lump waves, and characteristic behaviors are analyzed for the resulting lump wave solutions.