Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 13 - Sayı: 2

Hyperbolic Type Traveling Wave Solution of Vakhnenko-Parkes Equation

Vakhnenko-Parkes Denkleminin Hiperbolik Tipte Yürüyen Dalga Çözümü

Pages
550–556
Publication Date
2022-10-11
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The method appears to be easier and faster for symbolic computation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, structure of (1/𝐺′)-expansion method is applied.
📊
Key Findings & Data: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.
💡
Conclusion & Impact:The method appears to be easier and faster for symbolic computation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this article, structure of (1/𝐺′)-expansion method is applied. 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 an easier and efficient method for finding analytic solutions of nPDEs. The method appears to be easier and faster for symbolic computation.

Özet

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.

🔖

Cite This Article

DURUR, H., YOKUŞ, A. (2022). Hyperbolic Type Traveling Wave Solution of Vakhnenko-Parkes Equation. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 - Sayı: 2, 550–556. https://ajindex.com/articles/505440

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (4)

  1. Manafian, J. (2018). “Novel solitary wave solutions for the (3+ 1)-dimensional extended Jimbo–Miwa equations”. Computers & Mathematics with Applications, 76(5), 1246- 1260. Wazwaz, A. M. (2007). “The tanh–coth method for solitons and kink solutions for nonlinear parabolic equations”. Applied Mathematics and Computation, 188(2), 1467- 1475. Yokuş, A., & Kaya, D. (2015). “Traveling wave solutions of some nonlinear partial differential equations by using extendedexpansion method”. Yokus, A., & Tuz, M. (2017). “An application of a new version of (G′/G)-expansion method”. In AIP Conference Proceedings (Vol. 1798, No. 1, p. 020165). AIP Publishing. Durur, H. (2019). “Different types analytic solutions of the (1+ 1)-dimensional resonant nonlinear Schrödinger’s equation using (G′/G)-expansion method”. Modern Physics Letters B, 2050036. Yavuz, M., & Özdemır, N. (2018). “An Integral Transform Solution for Fractional Advection-Diffusion Problem”. Mathematical Studies and Applications, 442. Baskonus, H. M., Sulaiman, T. A., Bulut, H., & Aktürk, T. (2018). “Investigations of dark, bright, combined dark-bright optical and other soliton solutions in the complex cubic nonlinear Schrödinger equation with δpotential”. Superlattices and Microstructures, 115, 19-29.
  2. Cattani, C., Sulaiman, T. A., Baskonus, H. M., & Bulut, H. (2018). “On the soliton solutions to the Nizhnik-Novikov-Veselov and the Drinfel’d-Sokolov systems”. Optical and Quantum Electronics, 50(3), 138. Durur, H., Taşbozan, O., Kurt, A., & Şenol, M. (2019). “New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude”. Erzincan University Journal of the Institute of Science and Technology, 12(2), 807-815.
  3. Su-Ping, Q., & Li-Xin, T. (2007). “Modification of the Clarkson–Kruskal Direct Method for a Coupled System”. Chinese Physics Letters, 24(10), 2720. Yokuş, A., & Durur, H. (2019). “Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G') expansion method for nonlinear dynamic theory”. Journal of Balıkesir University Institute of Science and Technology, 21(2), 590-599.
  4. Yokuş, A., & Kaya, D. (2015). “Conservation laws and a new expansion method for sixth order Boussinesq equation”. In AIP Conference Proceedings (Vol. 1676, No. 1, p. 020062). AIP Publishing. Durur, H., & Yokuş, A. (2019). “(1/G')- Açılım Metodunu Kullanarak Sawada–Kotera Denkleminin Hiperbolik Yürüyen Dalga Çözümleri”. Afyon Kocatepe Ünive