Soliton Solutions of High-order Nonlinear Schrödinger Equations with Different Laws of Nonlinearities

• Published in: Regular & chaotic dynamics Vol. 26; no. 1; pp. 105 - 112
• Main Authors: Hosseini, Kamyar, Matinfar, Mashaallah, Mirzazadeh, Mohammad
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.01.2021; Springer Nature B.V
• Subjects: Dynamical Systems and Ergodic Theory; Mathematics; Mathematics and Statistics; Nonlinear equations; Optical fibers; Schrodinger equation; Solitary waves; high-order nonlinear Schrödinger equations; non-Kerr law media; new Kudryashov method; different laws of nonlinearities; soliton solutions
• ISSN: 1560-3547; 1468-4845
• DOI: 10.1134/S1560354721010068

In the present paper, high-order nonlinear Schrödinger equations in non-Kerr law media with different laws of nonlinearities are studied. In this respect, after considering a complex envelope and distinguishing the real and imaginary portions of the models, describing the propagation of solitons through nonlinear optical fibers, their soliton solutions are obtained using the well-organized new Kudryashov method. It is believed that the new Kudryashov method provides an effective mathematical tool to look for soliton solutions of high-order nonlinear Schrödinger equations.