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Math. Comput. Appl. 2016, 21(2), 8; doi:10.3390/mca21020008

New Analytic Solutions for the (N + 1)-Dimensional Generalized Boussinesq Equation

1
Department of Mathematical and Physical Science, Nanjing Institute of Technology, Nanjing 211167, China
2
Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China
*
Author to whom correspondence should be addressed.
Academic Editor: Mehmet Pakdemirli
Received: 24 February 2015 / Revised: 7 March 2016 / Accepted: 8 March 2016 / Published: 25 March 2016
View Full-Text   |   Download PDF [1718 KB, uploaded 25 March 2016]   |  

Abstract

In this paper, the generalized Jacobi elliptic functions expansion method with computerized symbolic computation are employed to investigate explicitly analytic solutions of the (N + 1)-dimensional generalized Boussinesq equation. The exact solutions to the equation are constructed analytically under certain circumstances, some of these solutions are degenerated to soliton-like solutions and trigonometric function solutions in the limit cases when the modulus of the Jacobi elliptic function solutions tends to 0 and 1, which shows that the applied method is more powerful and will be used in further works to establish more entirely new exact solutions for other kinds of higher-dimensional nonlinear partial differential equations in mathematical physics. View Full-Text
Keywords: generalized Jacobi elliptic functions expansion method; generalized Boussinesq equation; analytic solutions; soliton-like solutions; Jacobi elliptic function solutions generalized Jacobi elliptic functions expansion method; generalized Boussinesq equation; analytic solutions; soliton-like solutions; Jacobi elliptic function solutions

This paper was processed and accepted under the editorial system of the ASR before its transfer to MDPI.

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MDPI and ACS Style

Hong, B.; Lu, D. New Analytic Solutions for the (N + 1)-Dimensional Generalized Boussinesq Equation. Math. Comput. Appl. 2016, 21, 8.

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