SavedAdd your journal

Journals / Turkish Journal of Mathematics / 1998 / Cilt: 22 - Sayı: 3

A New Integrable Reduction of the Coupled NLS Equation

Mehmet Naci ÖZER
Pages
319–333
Publication Date
2022-11-03
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Finally the integrability of the reduced system is deduced by using a perturbation analysis.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG).
📊
Key Findings & Data:We also give the corresponding spectral problem and further reduce the derived equation into a finite dimensional integrable Hamiltonian system.
💡
Conclusion & Impact:Finally the integrability of the reduced system is deduced by using a perturbation analysis.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Multiple Scales Method · Coupled nonlinear Klein-Gordon Equation · Coupled NLS Equation

Abstract

The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We also give the corresponding spectral problem and further reduce the derived equation into a finite dimensional integrable Hamiltonian system. Finally the integrability of the reduced system is deduced by using a perturbation analysis.

Özet

The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We also give the corresponding spectral problem and further reduce the derived equation into a finite dimensional integrable Hamiltonian system. Finally the integrability of the reduced system is deduced by using a perturbation analysis.

🔖

Cite This Article

ÖZER, M. N. (2022). A New Integrable Reduction of the Coupled NLS Equation. Turkish Journal of Mathematics, Cilt: 22 - Sayı: 3, 319–333. https://ajindex.com/articles/609001

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...