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

Year 2022, Volume: 22 Issue: 1, 85 - 91, 28.02.2022

Melike Kaplan

https://doi.org/10.35414/akufemubid.1023095

Abstract

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.

Keywords

Nonlinear Schrödinger Equation with Anti Cubic Nonlinearity, Exp(-Φ(ξ)) Method, Exact Solutions, Symbolic Computation

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

Abstract

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.

Keywords

Kübik-Kuintik Schrödinger Denklemi, Üstel -Φ(ξ) Yöntemi, Tam Çözümler, Sembolik Hesaplama

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