https://doi.org/10.1140/epjp/s13360-021-01329-8
Regular Article
Optical soliton to multi-core (coupling with all the neighbors) directional couplers and modulation instability
1
Department of Basic Science, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 08, Kaélé, Cameroon
2
Department of Physics, Faculty of Science, The University of Maroua, P.O. Box 814, Maroua, Cameroon
3
Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran
4
Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey
5
National Advanced School of Engineering, University of Yaounde I, Yaounde, Cameroon
6
Laboratory of Mechanics, Materials and Structures, Department of physics, Faculty of Science, University of Yaounde I, Yaounde, Cameroon
Received:
9
September
2020
Accepted:
15
March
2021
Published online:
19
March
2021
n this research paper under consideration is the nonlinear multi-core coupler (coupling with all neighbors) with the parabolic law nonlinearity and optical metamaterials parameters. The integration scheme, namely the New sub-ODE method, is used to extract bright, dark, trigonometric function solutions, Jacobian elliptic function solutions and Weierstrass elliptic function solutions. To better understand the physical phenomena of the gained solutions, some physical explanation of the presented solutions under suitable values for the physical parameters via the 3D, 2D and contour simulations is given. The confrontation between the nonlinear and dispersion terms has permitted to study the behavior of the modulation instability (MI) gain spectra. The results obtained in this article are more general than those contained in the following papers [41–43] and will help to explain the virtue of the nonlinear optical birefringent.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
