Modulational instability of constant intensity waves with(Formula presented)Wadati-Mathieu potential for polynomial law of self-phase modulation
EPL, vol.154, no.3, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Letter
- Volume: 154 Issue: 3
- Publication Date: 2026
- Doi Number: 10.1209/0295-5075/ae5c31
- Journal Name: EPL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Chemical Abstracts Core, INSPEC, Linguistic Bibliography, zbMATH, Technology Collection (ProQuest)
- Karadeniz Technical University Affiliated: No
Abstract
Constant intensity (CI) solutions of the nonlinear Schrödinger equation with third-order dispersion (TOD), a polynomial law of self-phase modulation (cubic, quintic, and septimal nonlinearities) and (Formula presented) potential are considered. The potential is obtained by using an inverse design approach, in which the complex (Formula presented) potential is constructed to support an exact constant intensity solution. By introducing c as an asymmetry parameter, the modulational instability (MI) is mapped onto the (Formula presented) for (Formula presented), exploring all combinations of self-focusing and self-defocusing cubic-quintic-septimal nonlinear terms. Also, the effect of the amplitude A on MI has been investigated for different values of Bloch momenta k. It has been shown that TOD, higher-order nonlinearities, and the asymmetry parameter c significantly affect MI growth and stability regions.