Genişletilerek Düzenlenmiş Kudryashov Yöntemi ile İki Fiziksel Modelinin Hareketli Dalga Çözümleri

Bu makalede, matematiksel fizikte yer alan Schrödinger denkleminin özel durumları olan Biswas-Milovic denklemi ve Gerdjikov-Ivanov denklemini çözmek için genişletilerek düzenlenmiş Kudryashov yöntemini (EMKM) öneriyoruz. Bu denklemler için parametrelerin özel değerleri alındığında rasyonel fonksiyon, üstel fonksiyon ve hiperbolik fonksiyon formları ile gösterilen birçok yeni genişletilmiş dalga çözümü elde edildi. Sonuçlar, EMKM'nin doğrusal olmayan kısmi diferansiyel denklemleri çözmek için etkili bir yöntem olduğunu göstermektedir.

Anahtar Kelimeler:

Biswas-Milovic denklemi, Gerdjikov-Ivanov denklemi, genişletilerek düzenlenmiş Kudryashov yöntemi

Traveling Wave Solutions For Two Physical Models via Extended Modified Kudryashov Method

In this paper, we propose the extended modified Kudryashov method (EMKM) for solving the Biswas-Milovic equation and Gerdjikov-Ivanov equation which are commonly special cases of Schrödinger equation in mathematical physics. We received many new extended traveling wave solutions when the special values of the parameters are taken for these equations which are pointed out by rational function, exponential function and hyperbolic function forms. The results show that EMKM is advantageous mathematical technique for solving nonlinear partial differential equations.

Keywords:

Biswas-Milovic equation, Gerdjikov-Ivanov equation, extended modified Kudryashov method,

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