THE HOMOGENEOUS BALANCE METHOD AND ITS APPLICATIONS FOR FINDING THE EXACT SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS
Keywords:
the homogeneous balance method, nonlinear evolution equations, exact solutionsAbstract
In this article, we apply the homogeneous balance method to find the exact solutions of some nonlinear evolution equations in mathematical physics, namely, the Kaup-Kupershmidt equation, the Ito equation, the Caudrey-Dodd-Gibbon equation, the Lax equation and the Sawada-Kotera equation. These equations have wide applications in quantum mechanics and non linear optics. The e±ciency of this method for constructing these exact solutions is demonstrated.
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Published
2014-12-29
How to Cite
Zayed, E. M., & Alurrfi, K. A. (2014). THE HOMOGENEOUS BALANCE METHOD AND ITS APPLICATIONS FOR FINDING THE EXACT SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS. Italian Journal of Pure and Applied Mathematics, 33, 307–318. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6297
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Section
Articoli - Forum Editrice
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Copyright (c) 2014 Elsayed M.E. Zayed, Khaled A.E. Alurrfi
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
