Stair and Step Soliton Solutions of the Integrable (2+1) and (3+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equations |
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| Authors: | MT Darvishi M Najafi L Kavitha M Venkatesh |
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| Institution: | 1. Department of Mathematics, Razi University, Kermanshah 67149, Iran;
2. Department of Physiology, Faculty of Medicine, Kermanshah University of Medical Sciences, Kermanshah, Iran;
3. Department of Physics, Periyar University, Salem 636 011, India;
4. Center for Nanoscience and Nanotechnology, Periyar University, Salem 636 011, Tamilnadu, India |
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| Abstract: | The multiple exp-function method is a new approach to obtain multiple wave solutions of nonlinear partial differential equations (NLPDEs). By this method one can obtain multi-soliton solutions of NLPDEs. In this paper, using computer algebra systems, we apply the multiple exp-function method to construct the exact multiple wave solutions of a (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. Also, we extend the equation to a (3+1)-dimensional case and obtain some exact solutions for the new equation by applying the multiple exp-function method. By these applications, we obtain single-wave, double-wave and multi-wave solutions for these equations. |
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| Keywords: | multiple exp-function method Boiti-Leon-Manna-Pempinelli equation exact solution multi-soliton solution |
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