New Exact Solutions of (3+1)-dimensional Kadomtsev-Petviashvili (KP) Equation

Abstract

The extended trial equation method is investigated which allows us to achieve soliton solutions and Jacobi elliptic function solution of the partial differential equations. This method is implemented to the (3+1)-dimensional Kadomtsev-Petviashvili (KP) equation and various new exact solutions have been obtained. These new obtain exact solutions are solutions that are not known in the literature. Additionally, two and three-dimensional graphics were drawn to understand the physical behaviors of the distinct obtain exact solutions.

Keywords

• Extended Trial Equation Method,(3+1) Dimensional Kadomtsev-Petviashvili (KP) Equation,Exact Solutions

(3 + 1) boyutlu Kadomtsev-Petviashvili (KP) Denkleminin Yeni Tam Çözümleri

Öz

Kısmi türevli diferansiyel denklemlerin soliton çözeltilerini ve Jacobi eliptik fonksiyon çözümlerini elde etmemizi sağlayan genişletilmiş deneme denklemi yöntemi araştırılmıştır. Bu yöntem (3+1)-boyutlu Kadomtsev-Petviashvili (KP) denklemine uygulanmış ve çeşitli yeni tam(kesin) çözümler elde edilmiştir. Bu yeni tam çözümler, literatürde yer almayan çözümlerdir. Ek olarak, elde edilen farklı tam çözümlerin fiziksel davranışlarını anlamak için iki ve üç boyutlu grafikler çizilmiştir.

Anahtar Kelimeler

• Genişletilmiş deneme denklemi yöntemi,(3+1)-boyutlu Kadomtsev-Petviashvili (KP) denklemi,tam çözümler

Kaynakça

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