saujs Sakarya University Journal of Science 2147-835X Sakarya University 10.16984/saufenbilder.340379 Mathematical Sciences Matematik Obtaining the solution of Benney-Luke Equation by Laplace and adomian decomposition methods Laplace ve adomian ayrışma metodları ile Benney-Luke denkleminin çözümünü elde etme Gündoğdu Hami SAKARYA ÜNİVERSİTESİ Gözükızıl Ömer Faruk SAKARYA ÜNİVERSİTESİ 12 01 2017 21 6 1524 1528 09 28 2017 10 17 2017 Copyright © 1997, Sakarya University Journal of Science 1997 Sakarya University Journal of Science

In this study, we consider the inhomogeneous Benney-Lukeequation with its initial conditions. Laplace Decomposition Method and AdomianDecomposition Method are applied to this equation. Then, the solution yieldingthe given initial conditions is gained.

Bu çalışmada, başlangıç değerleri verilen homojen olmayanBenney-Luke denklemini ele aldık. Laplace ve Adomian ayrışma metotları budenkleme uygulanmıştır. Daha sonra, bu denklemin verilen başlangıç değerinisağlayan çözümü elde edilmiştir.

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