Lump and interaction solutions to linear PDEs in 2+1 dimensions via symbolic computation

摘要

The aim of this paper is to show that there exist lump solutions and interaction solutions to linear partial differential equations in 2+1 dimensions. Through symbolic computations with Maple, we exhibit a great variety of exact solutions to a class of (2+1)-dimensional linear partial differential equations, and present a specific example which possesses lump, lump-kink and lump-soliton solutions. This supplements the study on lump, rogue wave and breather solutions and their interaction solutions to nonlinear integrable equations.