Dynamics Behavior of Lumps and Interaction Solutions of a (3+1)-Dimensional Partial Differential Equation

Bo Ren

Complexity, 2019, vol. 2019, 1-8

Abstract:

In this work, we investigate a linear partial differential equation in (3+1)-dimensions. We construct lump solutions which localize in all directions in the - space. By combining the trigonometric, hyperbolic and exponential functions with a quadratic function, diversity interaction solutions such as interacted lumps with periodic waves and interacted lumps with multisoliton are generated. The phenomena of interaction solutions between a lump and a multisoliton and between a lump and a multikink soliton are presented by figures. The results expand understanding dynamical behavior of the (3+1)-dimensional partial differential equations.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:9512531

DOI: 10.1155/2019/9512531

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