On distinctive solitons type solutions for some important nonlinear Schrödinger equations

• Published in: Optical and quantum electronics Vol. 53; no. 2
• Main Authors: Osman, M. S., Machado, J. A. T, Baleanu, D., Zafar, A., Raheel, M.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01-02-2021; Springer Nature B.V
• Subjects: Characterization and Evaluation of Materials; Computer Communication Networks; Electrical Engineering; Elliptic functions; Ferromagnetism; Lasers; Mathematical analysis; Nonlinear differential equations; Nonlinear equations; Optical Devices; Optics; Photonics; Physics; Physics and Astronomy; Schrodinger equation; Solitary waves; Traveling waves; Heisenberg ferromagnetic spin chains equation; Soliton solutions; Alfvén envelop equation; Extended Jacobi elliptic function expansion method
• ISSN: 0306-8919; 1572-817X
• DOI: 10.1007/s11082-020-02711-z

The extended Jacobi elliptic function expansion (EJEFE) method is used to retrieve several types of optical solitons of two nonlinear Schrödinger equations, namely the Heisenberg ferromagnetic spin chains and Alfvén envelop equations. The obtained traveling wave solutions and the corresponding plots are analysed by means of the symbolic package Mathematica. The solutions show that the proposed strategy is effective and reliable for solving different types of nonlinear differential equations.