New traveling wave solutions to AKNS and SKdV equations

Teoman Özer

doi:10.1016/j.chaos.2009.01.023

New traveling wave solutions to AKNS and SKdV equations

Teoman Özer^*

^*Bu çalışma için yazışmadan sorumlu yazar

İnşaat Mühendisliği Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

13 Atıf (Scopus)

Özet

We analyze the traveling wave solutions of Ablowitz-Kaup-Newell-Segur (AKNS) and Schwarz-Korteweg-de Vries (SKdV) equations. As the solution method for differential equations we consider the improved tanh approach. This approach provides to transform the partial differential equation into the ordinary differential equation and then obtain the new families of exact solutions based on the solutions of the Riccati equation. The different values of the coefficients of the Riccati equation allow us to obtain new type of traveling wave solutions to AKNS and SKdV equations.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	577-583
Sayfa sayısı	7
Dergi	Chaos, Solitons and Fractals
Hacim	42
Basın numarası	1
DOI'lar	https://doi.org/10.1016/j.chaos.2009.01.023
Yayın durumu	Yayınlandı - 15 Eki 2009

Belgeye Erişim

10.1016/j.chaos.2009.01.023

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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abstract = "We analyze the traveling wave solutions of Ablowitz-Kaup-Newell-Segur (AKNS) and Schwarz-Korteweg-de Vries (SKdV) equations. As the solution method for differential equations we consider the improved tanh approach. This approach provides to transform the partial differential equation into the ordinary differential equation and then obtain the new families of exact solutions based on the solutions of the Riccati equation. The different values of the coefficients of the Riccati equation allow us to obtain new type of traveling wave solutions to AKNS and SKdV equations.",

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AB - We analyze the traveling wave solutions of Ablowitz-Kaup-Newell-Segur (AKNS) and Schwarz-Korteweg-de Vries (SKdV) equations. As the solution method for differential equations we consider the improved tanh approach. This approach provides to transform the partial differential equation into the ordinary differential equation and then obtain the new families of exact solutions based on the solutions of the Riccati equation. The different values of the coefficients of the Riccati equation allow us to obtain new type of traveling wave solutions to AKNS and SKdV equations.

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New traveling wave solutions to AKNS and SKdV equations

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Belgeye Erişim

Diğer Dosyalar ve Linkler

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