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Exact solutions of some nonlinear partial differential equations using functional variable method
A Nazarzadeh M Eslami M Mirzazadeh
Research Articles Volume 81 Issue 2 August 2013 pp 225-236
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Permanent link:
https://www.ias.ac.in/article/fulltext/pram/081/02/0225-0236 -
Keywords
Functional variable method ;$(2+1)$-dimensional Camassa–Holm Kadomtsev–Petviashvili equation ;generalized forms of Klein–Gordon equation ;higher-order nonlinear Schrödinger equation. -
Abstract
The functional variable method is a powerful solution method for obtaining exact solutions of some nonlinear partial differential equations. In this paper, the functional variable method is used to establish exact solutions of the generalized forms of Klein–Gordon equation, the $(2 + 1)$-dimensional Camassa–Holm Kadomtsev–Petviashvili equation and the higher-order nonlinear Schrödinger equation. By using this useful method, we found some exact solutions of the above-mentioned equations. The obtained solutions include solitary wave solutions, periodic wave solutions and combined formal solutions. It is shown that the proposed method is effective and general.
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Author Affiliations
A Nazarzadeh1 M Eslami2 M Mirzazadeh3
- Department of Mathematics, Islamic Azad University, Dezful Branch, Dezful, Iran
- Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
- Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran
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Dates
- Published
- August 2013
- Manuscript received
- 21 December 2012
- Manuscript revised
- 6 April 2013
- Accepted
- 17 April 2013
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Pramana – Journal of Physics
Volume 97, 2023
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