Study of analytical method to seek for exact solutions of variant Boussinesq equations

Kamruzzaman Khan; M Ali Akbar

doi:10.1186/2193-1801-3-324

Study of analytical method to seek for exact solutions of variant Boussinesq equations

Springerplus. 2014 Jun 27:3:324. doi: 10.1186/2193-1801-3-324. eCollection 2014.

Authors

Kamruzzaman Khan¹, M Ali Akbar²

Affiliations

¹ Department of Mathematics, Pabna University of Science and Technology, Pabna, 6600 Bangladesh.
² Department of Applied Mathematics, University of Rajshahi, Rajshahi, 6205 Bangladesh.

Abstract

Abstract: In this paper, we have been acquired the soliton solutions of the Variant Boussinesq equations. Primarily, we have used the enhanced (G'/G)-expansion method to find exact solutions of Variant Boussinesq equations. Then, we attain some exact solutions including soliton solutions, hyperbolic and trigonometric function solutions of this equation.

Mathematics subject classification: 35 K99; 35P05; 35P99.

Keywords: Enhanced (G′/G)-expansion method; NLEEs; Traveling wave; Variant Boussinesq equations.