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

Year 2018, Volume: 7 Issue: 1, 133 - 143, 29.06.2018

Şamil Akçağıl

https://doi.org/10.17798/bitlisfen.416700

Abstract

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.

Keywords

Solitary type solution, Long-short-wave interaction system, The unified method

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

Abstract

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.

Keywords

Solitary tip çözüm, Uzun-Kısa-Dalga etkileşimi sistemi, Unified yöntem

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