On the spectral stability of periodic waves of the coupled Schrödinger equations

Demirkaya, Aslihan; HAKKAEV, SEVDZHAN

doi:10.1016/j.physleta.2015.08.024

On the spectral stability of periodic waves of the coupled Schrödinger equations

Physics Letters, Section A: General, Atomic and Solid State Physics, cilt.379, sa.45-46, ss.2908-2914, 2015 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 379 Sayı: 45-46
Basım Tarihi: 2015
Doi Numarası: 10.1016/j.physleta.2015.08.024
Dergi Adı: Physics Letters, Section A: General, Atomic and Solid State Physics
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2908-2914
Anahtar Kelimeler: Nonlinear Schrödinger equation, Spectral stability, Standing waves
Trakya Üniversitesi Adresli: Hayır

Özet

In this present work we consider the periodic standing wave solutions for the coupled nonlinear Schrödinger equations. We restrict our problem to two cases and construct the solutions explicitly. Then we make the stability analysis for each case. We show that the relevant stationary solutions are spectrally stable for certain parameters. For those parameters, we also present our numerical results in the spectral analysis.