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Wang, X.B., Tian, S.F., Qin, C.Y. and Zhang, T.T. (2017) Characteristics of the Solitary Waves and Rogue Waves with Interaction Phenomena in a Generalized (3 + 1)-Dimensional Kadomtsev-Petviashvili Equation. Applied Mathematics Letters, 72, 58-64.
https://doi.org/10.1016/j.aml.2017.04.009

has been cited by the following article:

• TITLE: Diversity of New Three-Wave Solutions and New Periodic Waves for the (3 + 1)-Dimensional Kadomtsev-Petviashvili-Boussinesq-Like Equation

  AUTHORS: Meiyu Li, Sudao Bilige, Runfa Zhang, Lihui Han

  KEYWORDS: KPB-Like Equation, Generalized Bilinear Form, New Three-Wave Solutions, New Periodic Wave

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.10, October 20, 2020

  ABSTRACT: Based on the generalized bilinear method, diversity of exact solutions of the (3 + 1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation is successfully derived by using symbolic computation with Maple. These new solutions, named three-wave solutions and periodic wave have greatly enriched the existing literature. Via the three-dimensional images, density images and contour plots, the physical characteristics of these waves are well described. The new three-wave solutions and periodic solitary wave solutions obtained in this paper, will have a wide range of applications in the fields of physics and mechanics.