Turkish Journal of Mathematics
DOI
-
Abstract
The method of multiple scales is used to derive separable nonlinear Schrödinger equations as amplitude equation from three component 2D nonlinear Klein-Gordon Equation. We further discuss the integrability of the derived separable amplitude equations and reduce them into finite dimensional Hamiltonian systems. Finally we give first integrals for the reduced systems.
Keywords
Multiple Scales Method, Three Component 2D Nonlinear Klein-Gordon Equation, Separable Amplitude NLS Equation, Spectral Problem, Separable Integrable Hamiltonian system. 1991 Mathematics Subject Classification: 35B20, 35Q53, 35Q55, 58G18.
First Page
309
Last Page
318
Recommended Citation
ÖZER, MEHMET NACİ and ESER, DURSUN (1998) "Derivation of Separable Amplitude Equations by Multiple Scales Method," Turkish Journal of Mathematics: Vol. 22: No. 3, Article 5. Available at: https://journals.tubitak.gov.tr/math/vol22/iss3/5
