Essential Site Maintenance: Authorea-powered sites will be updated circa 15:00-17:00 Eastern on Tuesday 5 November.
There should be no interruption to normal services, but please contact us at [email protected] in case you face any issues.

loading page

Different wave structures for a new extended shallow water wave equation in (3+1) dimension
  • Jian-Guo Liu,
  • Wen-Hui Zhu
Jian-Guo Liu
Jiangxi University of Chinese Medicine

Corresponding Author:[email protected]

Author Profile
Wen-Hui Zhu
Jiang Xi University of Traditional Chinese Medicine
Author Profile

Abstract

In this work, a new extended shallow water wave equation in (3+1) dimensions is studied, which represents abundant physical meaning in nonlinear shallow water wave. We discuss the interaction between lump wave and single solitary wave, which is an inelastic collision. Further, the interaction between lump wave and two solitary waves, and the interaction between lump wave and periodic wave are also studied. Finally, the interaction among lump, periodic and one solitary waves is investigated. The dynamic properties of the obtained results are shown and analyzed by some three-dimensional images.