Year 2018, Volume 7, Issue 1, Pages 133 - 143 2018-06-29

Travelling Wave Solutions for the Long–Short–Wave Interaction System Using the Unified Method
Solitary Type Solutions for the Long–Short–Wave Interaction System Using the Unified Method

Şamil AKÇAĞIL [1]

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Uzun-Kısa-Dalga etkileşimi sistemi, düşük frekanslı uzun dalgalar ve yüksek frekanslı kısa dalgalar arasında önemli bir rol oynar. Önemli bir kompleks model olmasının yanı sıra, yerçekimi ve su dalgaları, plazma ve biyofizik, doğrusal olmayan optik gibi çeşitli fiziksel olgularla da ilgilidir. Bu sistem birçok araştırmacı tarafından ele alınmış ve farklı yöntemler kullanılarak bir çok çözümü elde edilmiştir. Bu çalışmada, uzun-kısa-dalga etkileşim sisteminin yeni solitary tip çözümleri, unified yöntem olarak elde edilecektir. Elde edilen çözümler önceki çözümlerin geliştirilmiş versiyonu olarak düşünülebilir. Bu çalışma aynı zamanda unified  yöntemin etkinliğini de göstermektedir.

The Long-Short-Wave interaction system plays a significant role between low frequency long waves and high frequency short waves. Besides being an important complex model it is also related with several physical phenomenon such as, gravity and water waves, plasma and bio-physics, nonlinear optic.  This system was handled by many researchers and solutions of this system were obtained by using different methods.  In this paper, new solitary type solutions for the Long-short-wave interaction system are formaly drived by using different method namely the unified method. The obtained solutions can be considered as improved version of the previous solutions. This study also shows the efficiency of the unified method.

  • Wang, M. L., Wang, Y. M., Zhang, J. L. 2003. The periodic wave solutions for two systems of nonlinear wave equations. Chin. Phys., 12: 1341.
  • Bekir, A., Ünsal, Ö. 2012. Periodic and solitary wave solutions of coupled nonlinear wave equations using the first integral method, Phys. Scr. , 85: 065003.
  • Sirendaoerji. 2017. Constructing infinite number of exact travelling wave solutions of nonlinear evolution equations via an extended tanh-function method, International Journal of Nonlinear Science, 24: 161–168.
  • Huibin, L., Kelin, W. 1990. Exact solutions for some coupled nonlinear equations II, Journal of Physics A: Mathematical and General, 23: 4197-4105.
  • Malfliet, W., Hereman, W. 1996. The tanh method. I: Exact solutions of nonlinear evolution and wave equations, Phys. Scr., 54: 563-568.
  • Fan, E.G. 2000. Extended tanh-function method and its applications to nonlinear equations, Phys Lett. A, 277: 212-218.
  • El-Wakil, S. A. , El-Labany, S. K. , Zahran, M. A., Sabry, R. 2005. Modified extended tanh-function method and its applications to nonlinear equations, Appl. Math. Comput., 161: 403-412.
  • Khuri, S. A. 2004. A complex tanh-function method applied to nonlinear equations of Schrödinger type, Chaos, Solitons and Fractals, 20: 1037-1040.
  • Wang, M., Li, X., Zhang, J. 2008. The (G'/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics, Physics Letters A, 372: 417-423.
  • Gözükızıl, Ö. F., Akçağıl, Ş., Aydemir, T. 2016. Unification of all hyperbolic tangent function methods, Open Phys.,
Primary Language en
Subjects Science
Journal Section Articles
Authors

Author: Şamil AKÇAĞIL (Primary Author)
Institution: BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ
Country: Turkey


Bibtex @research article { bitlisfen416700, journal = {Bitlis Eren Üniversitesi Fen Bilimleri Dergisi}, issn = {2147-3129}, eissn = {2147-3188}, address = {Bitlis Eren University}, year = {2018}, volume = {7}, pages = {133 - 143}, doi = {10.17798/bitlisfen.416700}, title = {Solitary Type Solutions for the Long–Short–Wave Interaction System Using the Unified Method}, key = {cite}, author = {AKÇAĞIL, Şamil} }
APA AKÇAĞIL, Ş . (2018). Solitary Type Solutions for the Long–Short–Wave Interaction System Using the Unified Method. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 7 (1), 133-143. DOI: 10.17798/bitlisfen.416700
MLA AKÇAĞIL, Ş . "Solitary Type Solutions for the Long–Short–Wave Interaction System Using the Unified Method". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 7 (2018): 133-143 <http://dergipark.org.tr/bitlisfen/issue/38033/416700>
Chicago AKÇAĞIL, Ş . "Solitary Type Solutions for the Long–Short–Wave Interaction System Using the Unified Method". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 7 (2018): 133-143
RIS TY - JOUR T1 - Solitary Type Solutions for the Long–Short–Wave Interaction System Using the Unified Method AU - Şamil AKÇAĞIL Y1 - 2018 PY - 2018 N1 - doi: 10.17798/bitlisfen.416700 DO - 10.17798/bitlisfen.416700 T2 - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 133 EP - 143 VL - 7 IS - 1 SN - 2147-3129-2147-3188 M3 - doi: 10.17798/bitlisfen.416700 UR - https://doi.org/10.17798/bitlisfen.416700 Y2 - 2018 ER -
EndNote %0 Bitlis Eren Üniversitesi Fen Bilimleri Dergisi Solitary Type Solutions for the Long–Short–Wave Interaction System Using the Unified Method %A Şamil AKÇAĞIL %T Solitary Type Solutions for the Long–Short–Wave Interaction System Using the Unified Method %D 2018 %J Bitlis Eren Üniversitesi Fen Bilimleri Dergisi %P 2147-3129-2147-3188 %V 7 %N 1 %R doi: 10.17798/bitlisfen.416700 %U 10.17798/bitlisfen.416700
ISNAD AKÇAĞIL, Şamil . "Solitary Type Solutions for the Long–Short–Wave Interaction System Using the Unified Method". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 7 / 1 (June 2018): 133-143. https://doi.org/10.17798/bitlisfen.416700