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Journals / Gazi University Journal of Science / 2026 / Volume: 36 Issue: 2

On Survey of the Some Wave Solutions of the Non-Linear Schrödinger Equation (NLSE) in Infinite Water Depth

Tuğba Tazgan(ATATURK UNIVERSITY)0000-0002-5663-0007
Ercan Celık(Ataturk University)0000-0002-1402-1457
Gülnur Yel(FINAL INTERNATIONAL UNIVERSITY)0000-0002-5134-4431
Hasan Bulut(FIRAT UNIVERSITY)0000-0002-6089-1517
Pages
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Publication Date
2023-06-01
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AI Summary & Key Takeaways

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

After getting various travelling wave solutions, we plot 3D, 2D and contour surfaces to present behaviours obtained exact solutions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and the modified exp -expansion function technique to construct novel exact solutions of the non-linear Schrödinger equation, describing gravity waves in infinite deep water, in the sense of conformable derivative.
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Key Findings & Data:In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and the modified exp -expansion function technique to construct novel exact solutions of the non-linear Schrödinger equation, describing gravity waves in infinite deep water, in the sense of conformable derivative.
💡
Conclusion & Impact:After getting various travelling wave solutions, we plot 3D, 2D and contour surfaces to present behaviours obtained exact solutions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:The sine-gordon expansion technique · The modified exp -expansion function technique · Conformable derivative

Abstract

In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and the modified exp -expansion function technique to construct novel exact solutions of the non-linear Schrödinger equation, describing gravity waves in infinite deep water, in the sense of conformable derivative. After getting various travelling wave solutions, we plot 3D, 2D and contour surfaces to present behaviours obtained exact solutions.

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Cite This Article

Tazgan, T., Celık, E., Yel, G., Bulut, H. (2023). On Survey of the Some Wave Solutions of the Non-Linear Schrödinger Equation (NLSE) in Infinite Water Depth. Gazi University Journal of Science, Volume: 36 Issue: 2. https://doi.org/10.35378/gujs.1016160

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