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Exact solutions of unsteady Korteweg-de Vries and time regularized long wave equations

Islam, S M Rayhanul ; Khan, Kamruzzaman ; Akbar, M Ali

SpringerPlus, 2015-03, Vol.4 (1), p.124-124, Article 124 [Periódico revisado por pares]

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Título:
Exact solutions of unsteady Korteweg-de Vries and time regularized long wave equations
Autor: Islam, S M Rayhanul ; Khan, Kamruzzaman ; Akbar, M Ali
Assuntos: Applied Mathematics ; Humanities and Social Sciences ; multidisciplinary ; Science ; Science (multidisciplinary)
É parte de: SpringerPlus, 2015-03, Vol.4 (1), p.124-124, Article 124
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: In this paper, we implement the exp(−Φ(ξ))-expansion method to construct the exact traveling wave solutions for nonlinear evolution equations (NLEEs). Here we consider two model equations, namely the Korteweg-de Vries (KdV) equation and the time regularized long wave (TRLW) equation. These equations play significant role in nonlinear sciences. We obtained four types of explicit function solutions, namely hyperbolic, trigonometric, exponential and rational function solutions of the variables in the considered equations. It has shown that the applied method is quite efficient and is practically well suited for the aforementioned problems and so for the other NLEEs those arise in mathematical physics and engineering fields. PACS numbers: 02.30.Jr, 02.70.Wz, 05.45.Yv, 94.05.Fq.
Editor: Cham: Springer International Publishing
Idioma: Inglês

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