Construction of Solitary Wave Solutions and Rational Solutions for mKdV Equation with Initial Value Problem by Homotopy Perturbation Method - Open Access Library Journal

OALibJ > Vol.5 No.2, February 2018

Construction of Solitary Wave Solutions and Rational Solutions for mKdV Equation with Initial Value Problem by Homotopy Perturbation Method ()

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DOI: 10.4236/oalib.1104383 662 Downloads 1,412 Views Citations

Author(s)

Zhongzhou Dong, Fen Wang

Affiliation(s)

School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China.

ABSTRACT

The mKdV equation with the initial value problem is studied numerically by means of the homotopy perturbation method. The analytical approximate solutions of the mKdV equation are obtained. Choosing the form of the initial value, the single solitary wave, two solitary waves and rational solutions are presented, some of which are shown by the plots.

KEYWORDS

mKdV Equation, Homotopy Perturbation Method, Soliton Solution

Share and Cite:

Dong, Z. and Wang, F. (2018) Construction of Solitary Wave Solutions and Rational Solutions for mKdV Equation with Initial Value Problem by Homotopy Perturbation Method. Open Access Library Journal, 5, 1-10. doi: 10.4236/oalib.1104383.

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