A symbolic computation approach to constructing rogue waves with a controllable center in the nonlinear systems

摘要

A symbolic computation approach to constructing higher order rogue waves with a controllable center of the nonlinear systems is presented, making use of their Hirota bilinear forms. As some examples, it turns out that some higher order rogue wave solutions of the Kadomtsev-Petviashvili (KP) type equations in (3+1) and (2+1)-dimensions are obtained. Some features of controllable center of rogue waves are graphically discussed. (C) 2018 Elsevier Ltd. All rights reserved.