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New exact solutions of cubic nonlinear schrödinger equation by using extended trial equation method

Authors: Pandır, Yusuf; Ağır, Tural;

New exact solutions of cubic nonlinear schrödinger equation by using extended trial equation method

Abstract

Bu çalışmada, kısmi türevli diferansiyel denklemlerin tam çözümlerinin elde edilmesine olanak sağlayan genişletilmiş deneme denklem yöntemi incelenmiştir. Önerilen bu yöntem kübik lineer olmayan Schrödinger denklemine uygulanmış ve farklı yeni tam çözümleri elde edilmiştir. Elde edilen bu yeni tam çözümlerin literatürde bulunmayan yeni tam çözümleri olduğunu ifade edebiliriz. Ayrıca, bulunan bu yeni tam çözümlerin fiziksel davranışlarını göstermek için iki ve üç boyutlu grafikleri çizilmiştir.

In this study, the extended trial equation method, which allows to obtain exact solutions of the partial differential equations, is investigated. This proposed method is applied to the cubic nonlinear Schrödinger equation and different new exact solutions are obtained. We can state that these new exact solutions are new exact solutions that are not find in the literature. In addition, two and three dimensional graphics drawn to show the physical behavior of these new exact solutions.

Country
Turkey
Keywords

Exact Solutions, Engineering, Extended Trial Equation Method;Nonlinear Partial Differential Equations;Schrödinger Equation with a Cubic Nonlinearity;Exact Solutions, Kısmi Türevli Diferansiyel Denklemler, Schrödinger Equation with a Cubic Nonlinearity, Nonlinear Partial Differential Equations, Genişletilmiş Deneme Denklem Yöntemi;Kısmi Türevli Diferansiyel Denklemler;Kübik Lineer Olmayan Schrödinger Denklemi;Tam Çözümler, Mühendislik, Tam Çözümler, Genişletilmiş Deneme Denklem Yöntemi, Kübik Lineer Olmayan Schrödinger Denklemi, Extended Trial Equation Method

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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