| Autor: |
Gupta, Mishu, Gupta, Rama, Malhotra, Shivani |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2023, Vol. 2771 Issue 1, p1-7, 7p |
| Abstrakt: |
The cubic discrete non-linear Schrödinger equation associated with some perturbation and dispersion relation has been derived. A stability analysis is performed with two sets of inhomogeneous coupled equations by using the analytic linerisation method. We use the so-called ode45 on MATLAB, based on the Runge-Kutta procedure to solve the system of differential equations, which is considered a minor perturbation to the DNLSE. The most crucial thing to observed that minor perturbations appear to behave differently from other types of behaviour. The bifurcation behaviour is also demonstrated. Investigating the system of equations under various initial conditions might also be beneficial. With two distinct sigma σ values, we show stability and phase portraits, and then inject some kink to these initial conditions, which dramatically changes the bifurcation behaviour. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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