The Modified (G′/G)-Expansion Method for Exact Solutions of the (3 + 1)-Dimensional Jimbo-Miwa Equation
نویسنده
چکیده
Özet. Bu makalede, (G′/G)-açılım metodunu başarıyla değiştirdik ve bir uygulama olarak (3+1)-boyutlu Jimbo-Miwa denkleminin kesin çözümlerini inşa etmek için önerdik. Elde edilen çözümlerin yani hiperbolik fonksiyon çözümlerinin, trigonometrik fonksiyon çözümlerinin ve kesirli çözümlerin her biri çalışılan denklemdeki değişkenlerin açık doğrusal bir fonksiyonunu içermektedir. Önerilen metodun, sembolik hesaplama yardımıyla, matematiksel fizikteki oluşum denklemlerinin çözümü için daha güçlü bir matematiksel araç olduğu gösterildi. Anahtar Kelimeler. Doğrusal olmayan oluşum denklemi, Jimbo-Miwa denklemi, (G′/G)açılım metodu, hiperbolik fonksiyon çözümleri, trigonometrik fonksiyon çözümleri, rasyonel çözümler.
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