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Journals / Türkiye Teknoloji ve Uygulamalı Bilimler Dergisi / 2019 / Cilt: 2 Sayı: 1

Exact Solutions of Nonlinear Schrödinger Equation

Nonlineer Schrödinger Denkleminin Tam Çözümleri

Halide Gümüş0000-0002-9626-1357
Halis Yılmaz(DİCLE ÜNİVERSİTESİ, ZİYA GÖKALP EĞİTİM FAKÜLTESİ, İLKÖĞRETİM BÖLÜMÜ)
Pages
11–19
Publication Date
2019-05-02
DOI
—
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AI Summary & Key Takeaways

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

Finally, by using Hirota's direct method we present one-soliton and two soliton solutions for the NLS.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This article is devoted to NLS Equation.
📊
Key Findings & Data:Firstly, we give some information about NLS then we obtain the equation by energy preserving method.
💡
Conclusion & Impact:Finally, by using Hirota's direct method we present one-soliton and two soliton solutions for the NLS.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:İlerleyen dalga · Nonlineer Schrödinger (NLS) Denklemi · Hirota metodu

Abstract

This article is devoted to NLS Equation. Firstly, we give some information about NLS then we obtain the equation by energy preserving method. Furthermore we construct a travelling wave solution for the NLS equation. Finally, by using Hirota's direct method we present one-soliton and two soliton solutions for the NLS.

Özet

Bu makale Nonlineer Schrödinger denklemine ayrılmıştır . Öncelikle denklem hakkında bilgiler verilmiş ve daha sonra denklem enerji korumalı yöntem ile elde edilmiştir . Sonraki bölümde de ilerleyen dalga çözümünü elde ettik ve daha sonra Hirota metodunu kullanarak NLS denkleminin 1- soliton ve 2- soliton çözümünü verdik . Sonuç ve tartışma kısmı da beşinci bölümde verilmiştir .

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Cite This Article

Gümüş, H., Yılmaz, H. (2019). Exact Solutions of Nonlinear Schrödinger Equation. Türkiye Teknoloji ve Uygulamalı Bilimler Dergisi, Cilt: 2 Sayı: 1, 11–19. https://ajindex.com/articles/1562558

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