Transverse instability and nonlinear breakup of stripe states in a two-dimensional logarithmic nonlinear Schrödinger equation
WAVE MOTION AN INTERNATIONAL JOURNAL REPORTING RESEARCH ON WAVE PHENOMENA, cilt.149, ss.1-13, 2027 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 149
- Basım Tarihi: 2027
- Doi Numarası: 10.1016/j.wavemoti.2026.103870
- Dergi Adı: WAVE MOTION AN INTERNATIONAL JOURNAL REPORTING RESEARCH ON WAVE PHENOMENA
- Derginin Tarandığı İndeksler: Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Scopus, Science Citation Index Expanded (SCI-EXPANDED), Compendex, Geobase, INSPEC, MathSciNet, zbMATH
- Sayfa Sayıları: ss.1-13
- İstanbul Kültür Üniversitesi Adresli: Evet
Özet
We investigate the transverse stability and nonlinear dynamics of localized stripe states in a two-dimensional logarithmic nonlinear Schrödinger equation. Starting from an exact localized stripe solution, a transverse linear stability analysis is performed under symmetric coefficient conditions to derive the dispersion relation governing the growth of transverse perturbations. The analysis identifies the instability band, the cutoff wavenumber, and the fastest-growing transverse wavenumber. The theoretical predictions are then examined through direct two-dimensional numerical evolution of the perturbed stripe, and numerically extracted growth rates show close agreement with the analytical instability spectrum. Simulations beyond the instability cutoff further confirm the predicted non-growing regime. In the nonlinear stage, unstable transverse perturbations develop into pronounced spatial modulation, leading to the transient formation of a periodic array of localized density peaks. Numerical refinement and conservation tests support the robustness of the observed breakup dynamics with respect to the discretization. The results establish a consistent connection between analytical transverse instability predictions and the fully nonlinear evolution of stripe states in logarithmic Schrödinger systems.