Then the integrability of the MNLS equation is deduced by the derivation of the spectral problem for the MNLS equation from the spectral problem for the MKdV equation.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:In this paper the method of multiple scales is used to derive an integrable matrix non-linear Schrödinger equation (MNLS) as an amplitude equation from the Matrix Korteweg-de Vries equation (MKdV) associated with symmetric spaces.
📊
Key Findings & Data:In this paper the method of multiple scales is used to derive an integrable matrix non-linear Schrödinger equation (MNLS) as an amplitude equation from the Matrix Korteweg-de Vries equation (MKdV) associated with symmetric spaces.
💡
Conclusion & Impact:Then the integrability of the MNLS equation is deduced by the derivation of the spectral problem for the MNLS equation from the spectral problem for the MKdV equation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Phys. · (1998) · 911-922. Full text: pdf Other articles published in the same issue: Turk. J. Phys.
Abstract
In this paper the method of multiple scales is used to derive an integrable matrix non-linear Schrödinger equation (MNLS) as an amplitude equation from the Matrix Korteweg-de Vries equation (MKdV) associated with symmetric spaces. Then the integrability of the MNLS equation is deduced by the derivation of the spectral problem for the MNLS equation from the spectral problem for the MKdV equation.
Özet
In this paper the method of multiple scales is used to derive an integrable matrix non-linear Schrödinger equation (MNLS) as an amplitude equation from the Matrix Korteweg-de Vries equation (MKdV) associated with symmetric spaces. Then the integrability of the MNLS equation is deduced by the derivation of the spectral problem for the MNLS equation from the spectral problem for the MKdV equation.
ÖZER, M. N. (1998). Multiple Scales Method for a Matrix KdV Equation. Turkish Journal of Physics, Cilt: 22 - Sayı: 9, 911–922. https://ajindex.com/articles/379502