TY - JOUR T1 - A Study on Approximate Analytic Solutions of the Combined KdV-mKdV Equation TT - Birleştirilmiş KdV-mKdV Denkleminin Yaklaşık Analitik Çözümleri Üzerine Bir Çalışma AU - Ak, Turgut AU - Inan, Bilge PY - 2020 DA - October Y2 - 2020 DO - 10.17714/gumusfenbil.678682 JF - Gümüşhane Üniversitesi Fen Bilimleri Dergisi PB - Gumushane University WT - DergiPark SN - 2146-538X SP - 917 EP - 924 VL - 10 IS - 4 LA - en AB - In this paper, the investigationfocuses on solitary wave solutions of the combined KdV-mKdV equation by usingreduced differential transform method (RDTM). To prove validity of the proposedmethod, the approximate analytic solutions and exact solutions of the equationare compared via absolute errors. The obtained results are represented bygraphics. The effects of the time and dispersion parameter on analytic solutions are investigated. As aresult, it can be said that the applied method is quite precise and successfulfor similar type equations. KW - Combined KdV-mKdV Equation KW - Gardner Equation KW - RDTM KW - Reduced Differential Transform Method KW - Solitary Wave N2 - Bu çalışmada, araştırma indirgenmiş diferansiyel dönüşüm metodunu (İDDM)kullanarak birleştirilmiş KdV-mKdV denkleminin solitary dalga çözümleri üzerineodaklanmaktadır. Önerilen metodun geçerliliğini kanıtlamak için, mutlak hatavasıtasıyla yaklaşık analitik çözümler ve tam çözümler karşılaştırılmıştır.Elde edilen sonuçlar grafiklerle temsil edilmiştir. Zaman ve dispersiyonparametresinin analitik çözümler üzerindekietkileri araştırılmıştır. Sonuç olarak, uygulanan yöntemin benzer tiptekidenklemler için oldukça hassas ve başarılı olduğu söylenebilir. CR - Abazari, R. and Abazari, M., 2013. Numerical Study of Burger-Huxley Equations via Reduced Differential Transform Method. Computational and Applied Mathematics, 32(1), 1-17. CR - Abazari, R. and Soltanalizadeh, B., 2013. Reduced Differential Transform Method and Its Application on Kawahara Equations. 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