Application of the He’s Semi-inverse Method for (2 + 1)-Dimensional Nonlinear PDEs

Mohammad Najafi^1, , Malihe Najafi¹ and Somayeh Arbabi¹

¹Medical Biology Research Center, Kermanshah University of Medical Sciences, Kermanshah, Iran

Cite this paper:
Mohammad Najafi, Malihe Najafi and Somayeh Arbabi. Application of the He’s Semi-inverse Method for (2 + 1)-Dimensional Nonlinear PDEs. Journal of Mathematical Sciences and Applications. 2013; 1(2):29-31. doi: 10.12691/jmsa-1-2-3

Abstract

We make use of the He’s semi-inverse method and symbolic computation to construct new exact traveling wave solutions for the (2 + 1)-dimensional Boussinesq and breaking soliton equations. Many new exact traveling wave solutions are successfully obtained, which contain soliton solutions. This method is straightforward and concise, and it can also be applied to other nonlinear evolution equations.

Keywords:
He’s semi-inverse method (2+1)-dimensional Boussinesq equation (2+1)-dimensional breaking soliton equation

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References:

[1]	He, J. H., “Some asymptotic methods for strongly nonlinear equations”, Internat. J. Modern Phys. B, Vol. 20, 2006, 1141-1199.
[2]	He, J. H., “Variational principles for some nonlinear partial differential equations with variable coefficients”, Chaos, Solitons and Fractals, Vol. 19, 2004, 847-851.
[3]	Najafi, M., Arbabi, S., Najafi, M., “New application of sine-cosine method for the generalized (2+1)-dimensional nonlinear evolution equations”, International Journal of Advanced Mathematical Sciences, Vol. 1, No. 2, 2013, 45-49.