Birleştirilmiş KdV-mKdV Denkleminin Yaklaşık Analitik Çözümleri Üzerine Bir Çalışma

Abstract

In this paper, the investigation focuses on solitary wave solutions of the combined KdV-mKdV equation by using reduced differential transform method (RDTM). To prove validity of the proposed method, the approximate analytic solutions and exact solutions of the equation are compared via absolute errors. The obtained results are represented by graphics. The effects of the time and dispersion parameter (μ) on analytic solutions are investigated. As a result, it can be said that the applied method is quite precise and successful for similar type equations.