2016

Lineer Olmayan Kübik-Kuintik Schrödinger Denkleminin Üstel -Φ(ξ) Yöntemiyle Tam Çözümleri

Bu çalışmada, lineer olmayan kübik-kuintik Schrödinger denkleminin yeni tam çözümleri, üstel -Φ(ξ) yöntemiyle elde edilmiştir. Bu denklem, lineer olmayan optikte ve matematiksel fizikte büyük bir öneme sahiptir. Üstel -Φ(ξ) yöntemi, lineer olmayan kısmi diferensiyel denklemler ve kesir mertebeden kısmi diferensiyel denklemlerin farklı tipte analitik çözümlerini bulmada kullanılan oldukça elverişli ve kullanışlı bir metottur. Bu çalışmada yapılan hesaplamalarda ve çözümlerin doğruluğunun teyit edilmesinde Maple paket programı kullanılmıştır.

Exact Solutions of the Nonlinear Schrödinger Equation With Anti Cubic Nonlinearity by the exp(-Φ(ξ)) Method

This work is devoted to obtain exact solutions of the nonlinear Schrödinger equation with anti cubic nonlinearity by method. This equation plays a crucial role in nonlinear optics and mathematical physics. The method is an efficient and useful method to find different types of analytical solutions of nonlinear partial differential equations and fractional differential equations. We have used the Maple packet program for the calculations and verification of the solutions for this work.

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