Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations
With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrödinger-type equations including...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/265348 |
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| author | Zeid I. A. Al-Muhiameed Emad A.-B. Abdel-Salam |
| author_facet | Zeid I. A. Al-Muhiameed Emad A.-B. Abdel-Salam |
| author_sort | Zeid I. A. Al-Muhiameed |
| collection | DOAJ |
| description | With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrödinger-type equations including the generalized Zakharov system, the Rangwala-Rao equation, and the Chen-Lee-Liu equation are investigated and the exact solutions are derived with the aid of the homogenous balance principle and generalized hyperbolic functions. We study the effect of the generalized hyperbolic function parameters p and q in the obtained solutions by using the computer simulation. |
| format | Article |
| id | doaj-art-676e197901b846cf8e8a1bf60e4966c4 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-676e197901b846cf8e8a1bf60e4966c42025-02-03T05:51:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/265348265348Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type EquationsZeid I. A. Al-Muhiameed0Emad A.-B. Abdel-Salam1Mathematics Department, Faculty of Science, Qassim University, Buraydah 51452, Saudi ArabiaMathematics Department, Faculty of Science, Qassim University, Buraydah 51452, Saudi ArabiaWith the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrödinger-type equations including the generalized Zakharov system, the Rangwala-Rao equation, and the Chen-Lee-Liu equation are investigated and the exact solutions are derived with the aid of the homogenous balance principle and generalized hyperbolic functions. We study the effect of the generalized hyperbolic function parameters p and q in the obtained solutions by using the computer simulation.http://dx.doi.org/10.1155/2012/265348 |
| spellingShingle | Zeid I. A. Al-Muhiameed Emad A.-B. Abdel-Salam Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations Journal of Applied Mathematics |
| title | Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations |
| title_full | Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations |
| title_fullStr | Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations |
| title_full_unstemmed | Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations |
| title_short | Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations |
| title_sort | generalized hyperbolic function solution to a class of nonlinear schrodinger type equations |
| url | http://dx.doi.org/10.1155/2012/265348 |
| work_keys_str_mv | AT zeidiaalmuhiameed generalizedhyperbolicfunctionsolutiontoaclassofnonlinearschrodingertypeequations AT emadababdelsalam generalizedhyperbolicfunctionsolutiontoaclassofnonlinearschrodingertypeequations |