Optical soliton solutions of Schrödinger–Hirota equation with parabolic law nonlinearity via generalized Kudryashov algorithm

H Cakicioglu, M Ozisik, A Secer, M Bayram - Optical and Quantum …, 2023 - Springer
The aim of this study is to peruse the dispersive Schrödinger–Hirota equation (SH equation)
with parabolic law linearity to get optical soliton solutions by utilizing the generalized …

Optical soliton solutions of dispersive Schrödinger–Hirota equation with chromatic and inter-modal dispersion in a couple of law medium

I Onder, H Esen, A Secer, M Ozisik… - Optical and Quantum …, 2023 - Springer
In this paper, for the first time, we investigated the Kerr and parabolic law forms of the
dispersive Schrödinger-Hirota equation in the presence of chromatic and inter-modal …

[HTML][HTML] Bright soliton of the perturbed Schrödinger–Hirota equation with cubic–quintic–septic law of self-phase modulation in the presence of spatiotemporal …

N Ozdemir, S Altun, A Secer, M Ozisik… - The European Physical …, 2024 - Springer
For the first time, we intend to scrutinize both the bright optical soliton solutions of the
perturbed Schrödinger–Hirota equation with cubic–quintic–septic law having the …

Solutions of stiff systems of ordinary differential equations using residual power series method

M Qayyum, Q Fatima - Journal of Mathematics, 2022 - Wiley Online Library
The stiff differential equations occur in almost every field of science. These systems
encounter in mathematical biology, chemical reactions and diffusion process, electrical …

Novel multi breather like, periodic, hybrid periodic and singular periodic waves of the Schrödinger–Hirota equation having the parabolic-law nonlinearity

C Zhao, MU Rahman, H Rezazadeh… - Optical and Quantum …, 2024 - Springer
The aim of this manuscript is to study various optical soliton profiles of the Schrödinger–
Hirota (SH) equation having the parabolic law nonlinearity by utilizing the Sardar …

Regularity of fractional heat semigroup associated with Schrödinger operators

P Li, T Qian, Z Wang, C Zhang - Fractal and Fractional, 2022 - mdpi.com
Let L=− Δ+ V be a Schrödinger operator, where the potential V belongs to the reverse
Hölder class. By the subordinative formula, we introduce the fractional heat semigroup {e− t …

[PDF][PDF] Solving the conformable Huxley equation using the complex method

G Dang, Q Liu - Electron. Res. Arch, 2023 - aimspress.com
We apply the complex method to build new exact solutions for the conformable Huxley
equation. The results show that abundant new exact solutions were constructed, which …