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The Modified (G//G)-Expansion Method for Exact Solutions of the (3 + 1)-Dimensional Jimbo-Miwa Equation

Journal Name:

  • Çankaya University Journal of Science and Engineering

Publication Year:

  • 2012

Key Words:

Keywords (Original Language):

Author NameUniversity of Author
Abstract (2. Language): 
In this paper, we suççessfully modified the (G'/G)-expansion method and as an appliçation proposed to çonstruçt exaçt solutions of the (3+1)-dimensional Jimbo-Miwa equation. Eaçh of the obtained solutions, namely the hyperboliç funçtion solutions, the triğonometriç funçtion solutions and the rational solutions çontain an expliçit linear funçtion of the variables in the equation in question. It is shown that the proposed method with the help of a symboliç çomputation provides a more powerful mathematiçal tool for solving nonlinear evolution equations in mathematiçal physiçs.
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Abstract (Original Language): 
Bu makalede, (G'/G)-açılım metodunu başarıyla değiştirdik ve bir uygulama olarak (3+1)-boyutlu Jimbo-Miwa denkleminin kesin çözumlerini inşa etmek için Önerdik. Elde edilen çozümlerin yani hiperbolik fonksiyon çozümlerinin, trigonometrik fonksiyon cozum-lerinin ve kesirli çozümlerin her biri çalışılan denklemdeki değişkenlerin açık doğrusal bir fonksiyonunu içermektedir. Önerilen metodun, sembolik hesaplama yardımıyla, matematiksel fizikteki oluşum denklemlerinin cüzümü için daha guçlu bir matematiksel araç olduğu gosterildi.1
FULL TEXT (PDF): 
PDF icon g-expansion-method-exact-solutions-3-1-dimensional-jimbo-miwa-equation.pdf
  • 1
59-67
  • Turkish

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