Multiple Scales Method for a Matrix KdV Equation

Authors

Mehmet Naci ÖZER

DOI

-

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.

First Page

911

Last Page

922

Recommended Citation

ÖZER, Mehmet Naci (1998) "Multiple Scales Method for a Matrix KdV Equation," Turkish Journal of Physics: Vol. 22: No. 9, Article 7. Available at: https://journals.tubitak.gov.tr/physics/vol22/iss9/7