ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

New (2+1) and (3+1)-dimensional Integrable Boussinesq Equations: Multiple Soliton Solutions

Journal of Applied Nonlinear Dynamics 8(4) (2019) 549--556 | DOI:10.5890/JAND.2019.12.003

Abdul-Majid Wazwaz

Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA

Abstract

In this work, we investigate new (2+1) and (3+1)-dimensional Boussinesq equations. We show the complete integrability of these equations via using the Painlevé test. We derive multiple soliton solutions for each model by using the simplified Hirota’s method. Other exact solutions of physical structures are determined.

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