Turkish Journal of Mathematics and Computer Science

Turkish Journal of Mathematics and Computer Science

Solutions of Nonlinear Partial Differential Equations Using Generalized Hyperbolic Functions

Yazarlar: Yusuf Pandir, Halime Ulusoy

Cilt 1 , Sayı - , 2013 , Sayfalar 38 - 46

Konular:-

Anahtar Kelimeler:Generalized hyperbolic functions,Generalized regularized long wave equation,(2+1) dimensional Boussinesq equation,Soliton solution

Özet: In this article, with the help of generalized hyperbolic functions a new version of the classic sech-function method is defined. The developed method is applied to the nonlinear partial differential equations and a general form of solution function called as ” 1-soliton ” is obtained. New exact solutions of generalized regularized long wave equation (GRLW) and the (2+1) dimensional Boussinesq equation found. Also, physical reviews of the solutions are added.

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@article{2013, title={Solutions of Nonlinear Partial Differential Equations Using Generalized Hyperbolic Functions}, volume={1}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Yusuf Pandir,Halime Ulusoy}, year={2013}, pages={38–46} }
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Yusuf Pandir,Halime Ulusoy. (2013). Solutions of Nonlinear Partial Differential Equations Using Generalized Hyperbolic Functions (Vol. 1, pp. 38–46). Vol. 1, pp. 38–46. Turkish Journal of Mathematics and Computer Science.
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Yusuf Pandir,Halime Ulusoy. Solutions of Nonlinear Partial Differential Equations Using Generalized Hyperbolic Functions. Turkish Journal of Mathematics and Computer Science, 2013, pp. 38–46.
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