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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2020 / Cilt: 20 - Sayı: 4

New Exact Solutions of Cubic Nonlinear Schrödinger Equation by Using Extended Trial Equation Method

Genişletilmiş Deneme Denklemi Yöntemi ile Kübik Lineer Olmayan Schrödinger Denkleminin Yeni Tam Çözümleri

Yusuf PANDIR
Tural AĞIR
Pages
582–588
Publication Date
2022-10-12
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In addition, two and threedimensional graphics drawn to show the physical behavior of these new exact solutions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the extended trial equation method, which allows to obtain exact solutions of the partialdifferential equations, is investigated.
📊
Key Findings & Data:This proposed method is applied to the cubic nonlinearSchrödinger equation and different new exact solutions are obtained.
💡
Conclusion & Impact:In addition, two and threedimensional graphics drawn to show the physical behavior of these new exact solutions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

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

Özet

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.

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Cite This Article

PANDIR, Y., AĞIR, T. (2022). New Exact Solutions of Cubic Nonlinear Schrödinger Equation by Using Extended Trial Equation Method. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 20 - Sayı: 4, 582–588. https://ajindex.com/articles/429799

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References (8)

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