A fast insight into the optical solitons of the generalized third-order nonlinear Schrödinger’s equation

• Published in: Results in physics Vol. 40; p. 105872
• Main Author: Wang, Kang-Jia
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.09.2022; Elsevier
• Subjects: Auxiliary function; Direct mapping method; Optical solitons; Direct mapping method; Optical solitons; Auxiliary function
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2022.105872

•In this letter, we propose a new method named the direct mapping method to study the generalized third-order nonlinear Schrödinger’s equation.•Using this method, we can construct abundant solutions in only one step, thus avoiding a lot of tedious calculations.•The results fully proved that the proposed method is simple but effective, which is expected to bring some new inspiration to study of PDEs in physics. The optical solitons of the generalized third-order nonlinear Schrödinger’s equation are investigated by Liu et al. (2022). In this letter, we propose a new one-step method namely the direct mapping method for the first time to study it. By this method, four sets of the soliton solutions are constructed in one step. The obtained results in this work fully prove the proposed method is simple but effective, which can avoid the tedious calculations, and is expected to bring some new inspiration to study of the PDEs in physics.