HİPERBOLİK TANJANT YÖNTEMİNİN KLASİK BOUSSINESQ SİSTEMİNE UYGULANMASI

Yıl 2008, Sayı: 10, 159 - 171, 01.06.2008

Mustafa Mızrak

Öz

Tanh yöntemi bir boyutlu lineer olmayan dalga ve değişimsel denklemlerinin yönlendirilmiş dalga çözümlerinde kullanılan çok güçlü bir çözüm yöntemidir. Bu yöntem çözümlerin sonlu hiperbolik tanjant kuvvet serileri şeklinde yazılabilmesi temeline dayanır. Bu çalışmada, aynı yöntem lineer olmayan Klasik Boussinesq kısmi diferansiyel denklem sistemine uygulandı.

Anahtar Kelimeler

Hiperbolik tanjant (Tanh) yöntemi, değişimsel denklemler, dalga denklemleri, yönlendirilmiş dalga çözümleri.

Application of Hyperbolic Tangent Method to Classical Boussinesq System

Öz

Tanh method is a powerful solution method for the computation of one-dimensional travelling wave solutions of evolution and wave equations. This method is based on the fact that solutions may be written as a finite power series of a hyperbolic tangent. In this work, we apply Hyperbolic Tangent (Tanh) method to solve Classical Boussinesq systems of partial differential equations.

Anahtar Kelimeler

Hyperbolic tangent (Tanh) method, evolution equations, wave equations, travelling wave solutions.

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