Some new exact solutions for a generalized variable coefficients KdV equation

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Rajagopalan R., Abdel Kader A. H., Abdel Latif M. S., Baleanu D., Sonbaty A. E.

Journal of Mathematics and Computer Science, cilt.29, sa.1, ss.1-11, 2023 (ESCI, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 29 Sayı: 1
• Basım Tarihi: 2023
• Doi Numarası: 10.22436/jmcs.029.01.01
• Dergi Adı: Journal of Mathematics and Computer Science
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.1-11
• Anahtar Kelimeler: Exact solutions, generalized KdV equation, traveling wave, solitons
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Ankara Üniversitesi Adresli: Evet

Özet

© 2023 All rights reserved.In this paper, the variable coefficients KdV equation with general power nonlinearities is proposed. Firstly, it is transformed into a generalized KdV equation with constant coefficients using a point transformation. Then, the traveling wave transformation is utilized to transform the obtained constant coefficients generalized KdV equation into a generalized ordinary differential equation. We give a classification for the obtained generalized ordinary differential equation using a suitable integrating factor. Some new solutions are obtained for the generalized KdV equation with constant coefficients. All the obtained solutions in this paper for the variable coefficients KdV equation with general power nonlinearities are new.