We show that flag manifold $$\sigma $$ -models (including $$\mathbb{C}\mathbb{P}^{n-1}$$ , Grassmannian models as special cases) and their deformed versions may be cast in the form of gauged bosonic Thirring/Gross-Neveu-type systems. Quantum mechanically gauging is violated by chiral anomalies, which cancelled adding fermions. conjecture such are integrable check on some examples trigonometrica...

In this paper, we present a new two-step trigonometrically fitted symmetric Obrechkoff method. The method is based on the symmetric two-step Obrechkoff method, with eighth algebraic order, high phase-lag order and is constructed to solve IVPs with periodic solutions such as orbital problems. We compare the new method to some recently constructed optimized methods from the literature. The numeri...

Langmuir waves propagate in fractal complex plasma with characteristics, which may cause some particles to be trapped or causes wave turbulences. This phenomenon appears the form of fractional order equations. Using an effective unified solver, new solitary profiles such as rational, trigonometrically and hyperbolical functions forms are discussed, using derivatives conformable sense. The modul...