Lump and interaction solutions of nonlinear partial differential equations

摘要

In this paper, lump solutions of nonlinear partial differential equations, the generalized (2 + 1)-dimensional KP equation and the Jimbo-Miwa equation, are studied by using the Hirota bilinear method and carrying out symbolic computations in Maple. Moreover, the interaction solutions, i.e. collisions between lump waves and kink waves, are investigated. A group of graphs are plotted to illustrate the dynamics of the obtained results.