Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov’s method

• Published in: Results in physics Vol. 24; p. 104179
• Main Authors: Rezazadeh, Hadi, Ullah, Najib, Akinyemi, Lanre, Shah, Abdullah, Mirhosseini-Alizamin, Seyed Mehdi, Chu, Yu-Ming, Ahmad, Hijaz
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.05.2021; Elsevier
• Subjects: Generalized non-autonomous nonlinear Schrödinger equations; New Kudryashov's method; Optical soliton solutions; Generalized non-autonomous nonlinear Schrödinger equations; New Kudryashov's method; Optical soliton solutions
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2021.104179

•Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations.•To modify and implement new Kudryashov's method.•The use of three interesting non-Kerr laws.•New methodology for obtaining the optical soliton solutions.•Applications of new Kudryashov's method in various fields of physical sciences and engineering. In this work, we study the optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov’s method (NKM). The aforesaid model is examined with time-dependent coefficients. We considered three interesting non-Kerr laws which are respectively the quadratic-cubic law, anti-cubic law, andtriple power law. The proposed method, as a newly developed mathematical tool, is efficient, reliable, and a simple approach for computing new solutions to various kinds of nonlinear partial differential equations (NLPDEs) in applied sciences and engineering.