Vakhnenko-Parkes Denkleminin Hiperbolik Tipte Yürüyen Dalga Çözümü

Öz

Bu makalede, (1/𝐺′)-açılım metodunun yapısı uygulanmıştır. İndirgenmiş Ostrovsky denkleminin bir diğer adı olan Vakhnenko-Parkes (V-P) denklemi dikkate alınmış ve (V-P) denkleminin (1/𝐺′)-açılım metodunu kullanılarak tam çözümleri inşa edilmiştir. Bu yöntem lineer olmayan kısmi diferansiyel denklemlerin analitik çözümlerini bulmak için daha kolay ve etkili bir metottur. Metot sembolik hesaplama için daha kolay ve daha hızlı görünüyor.Bu makalede, (1/𝐺′)-açılım metodunun yapısı uygulanmıştır. İndirgenmiş Ostrovsky denkleminin bir diğer adı olan Vakhnenko-Parkes (V-P) denklemi dikkate alınmış ve (V-P) denkleminin (1/𝐺′)-açılım metodunu kullanılarak tam çözümleri inşa edilmiştir. Bu yöntem lineer olmayan kısmi diferansiyel denklemlerin analitik çözümlerini bulmak için daha kolay ve etkili bir metottur. Metot sembolik hesaplama için daha kolay ve daha hızlı görünüyor.

Anahtar Kelimeler

• (1/𝐺′)-açılım metodu,
• Vakhnenko-Parkes denklemi,
• tam çözüm, yürüyen dalga çözümü.

Traveling Wave Solution of Vakhnenko-Parkes Equation

Öz

In this article, a structure of (1/G')-expansion method is proposed. Another name of the reduced Ostrovsky equation, Vakhnenko-Parkes (V-P) equation is taken into consideration and exact solutions have been constructed of the (V-P) equation using (1/G')-expansion method. This method is easier and efficient method for finding analytic solutions of nPDEs. The method appears to be easier and faster for symbolic computation.In this article, a structure of (1/G')-expansion method is proposed. Another name of the reduced Ostrovsky equation, Vakhnenko-Parkes (V-P) equation is taken into consideration and exact solutions have been constructed of the (V-P) equation using (1/G')-expansion method. This method is easier and efficient method for finding analytic solutions of nPDEs. The method appears to be easier and faster for symbolic computation.

Anahtar Kelimeler

• (1/G')-expansion method
• the Vakhnenko-Parkes equation
• exact solution
• traveling wave solution.

Kaynakça

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