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Evolution equations; solitons; integrability.

This paper obtains solitons as well as other solutions to a few nonlinear evolution equations that appear in various areas of mathematical physics. The two analytical integrators that are applied to extract solutions are tan–cot method and functional variable approaches. The soliton solutions can be used in the further study of shallow water waves in (1+1) as well as (2+1) dimensions.

Anwar Ja’afar Mohamad Jawad¹ M Mirzazadeh² Anjan Biswas^{3 4}

1. Computer Engineering Technique Department, Al-Rafidain University College, Baghdad, Iraq
2. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran
3. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
4. Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Published

October 2014

Manuscript received

11 January 2014

Manuscript revised

18 February 2014

Accepted

25 February 2014

Early published

13 September 2014