Görüntüleme
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Kısmi Diferansiyel denklemlerin analitik çözümleri, kuantum mekanik ve plazma fiziği gibi alanlarda, açığa çıkmamış olayların açıklanmasında fayda sağlamaktadır. Bu çalışmada, lineer olmayan kısmi türevli Calogero-Bogoyavlenskii-Schiff (CBS) diferansiyel denkleminin analitik çözümlerini bulmak için Homojen Denge Metodundan yararlanılmıştır. Homojen Denge Metodunun Calogero-Bogoyavlenskii-Schiff denklemine uygulanmasıyla elde edilen analitik çözümler literatürde bulunan sonuçlarla karşılaştırılmış ve literatürde bulunan çözümlerle uyumlu hiperbolik ve trigonometrik tipten fonksiyonlar elde edilmiştir.
The analytical solutions of partial differential equations are beneficial in the explaining of unrevealed events in areas such as quantum mechanics and plasma physics. In this study, the homogeneous Balance Method was used to find analytical solutions to the non-linear partial derived Calogero-Bogoyavlenskii-Schiff (CBS) differential equation. The analytical solutions obtained by the application of the homogeneous Balance Method to the Calogero-Bogoyavlenskii-Schiff equation were compared with the results found in literature and obtained functions of the hyperbolic and trigonometric type compatible with the solutions found in literature.
Analytical solutions of Partial Differential equations are useful in explaining unrevealed events in areas such as quantum mechanics and plasma physics. In this study, the Homogeneous Balance Method is used to find analytical solutions of the nonlinear partial differential Calogero-Bogoyavlenskii-Schiff (CBS) differential equation. Analytical solutions obtained by applying the Homogeneous Balance Method to the Calogero-Bogoyavlenskii-Schiff equation are compared with the results found in the literature, and hyperbolic and trigonometric type functions that are compatible with the solutions in the literature are obtained.
Alan : Eğitim Bilimleri; Fen Bilimleri ve Matematik; Mühendislik
Dergi Türü : Ulusal
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