(3+1) Boyutlu KZK Denklemi ve (3+1) Boyutlu JM Denkleminin Tam Çözümleri için MEFM

Bu çalışmada, (3+1) boyutlu Khokhlov – Zabolotskaya – Kuznetsov (KZK) denklemi ve (3+1) boyutlu Jimbo-Miwa (JM) denklemlerinin yürüyen tam dalga çözümlerini elde etmek için, modifiye edilmiş exp (−Ω(ξ))-açılım fonksiyon metodunu (MEFM) uyguladık. Bu yöntemle (3+1) boyutlu KZK denkleminin ve (3+1) boyutlu JM denkleminin dark soliton çözümü, dark-bright soliton çözümü, hiperbolik fonksiyon çözümü ve trigonometrik fonksiyon çözümü bulunmuştur. Daha sonra, bu çalışmada elde edilen tüm kesin çözümler için Wolfram Mathematica 9’u kullanarak 2 boyutlu ve 3 boyutlu grafikleri çizdik. Böylece, grafiksel gösterimler bu yöntemin gücünü açıkça göstermektedir.

MEFM For Exact Solutions Of The (3+1) Dimensional KZK Equation and (3+1) Dimensional JM Equation

In this study, we have applied the modified exp(−Ω(ξ))-expansion function method (MEFM) to obtainthe exact travelling wave solutions for the (3+1) dimensional Khokhlov–Zabolotskaya–Kuznetsov (KZK)equation and (3+1)-dimensional Jimbo-Miwa (JM) equation. Dark soliton solution, dark-bright solitonsolution, hyperbolic function solution and trigonometric function solution of the (3+1) dimensional KZKequation and (3+1)-dimensional JM equation have been found by using this method. After that, wehave scratched the 2D and 3D graphs for all exact solutions obtained in this study by using WolframMathematica 9. Thus, the graphical simulations openly show force of this method.

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