Next Article in Journal
Does Our Universe Prefer Exotic Smoothness?
Previous Article in Journal
Serious Solutions for Unsteady Axisymmetric Flow over a Rotating Stretchable Disk with Deceleration
Open AccessArticle

Exact Solutions and Conservation Laws of the (3 + 1)-Dimensional B-Type Kadomstev–Petviashvili (BKP)-Boussinesq Equation

by Ben Gao * and Yao Zhang
College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(1), 97; https://doi.org/10.3390/sym12010097
Received: 2 December 2019 / Revised: 31 December 2019 / Accepted: 2 January 2020 / Published: 4 January 2020
In this paper, Lie symmetry analysis is presented for the (3 + 1)-dimensional BKP-Boussinesq equation, which seriously affects the dispersion relation and the phase shift. To start with, we derive the Lie point symmetry and construct the optimal system of one-dimensional subalgebras. Moreover, according to the optimal system, similarity reductions are investigated and we obtain exact solutions of reduced equations by means of the Tanh method. In the end, we establish conservation laws using Ibragimov’s approach. View Full-Text
Keywords: (3 + 1)-dimensional BKP-Boussinesq equation; symmetry analysis; Tanh method; conservation laws (3 + 1)-dimensional BKP-Boussinesq equation; symmetry analysis; Tanh method; conservation laws
Show Figures

Figure 1

MDPI and ACS Style

Gao, B.; Zhang, Y. Exact Solutions and Conservation Laws of the (3 + 1)-Dimensional B-Type Kadomstev–Petviashvili (BKP)-Boussinesq Equation. Symmetry 2020, 12, 97.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop