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Optical and Quantum Electronics

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01-05-2024

The exact solutions of Schrödinger–Hirota equation based on the auxiliary equation method

Authors: Yajun Du, Tianle Yin, Jing Pang

Published in: Optical and Quantum Electronics | Issue 5/2024

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Abstract

The Schrödinger–Hirota equation are studied in light transmission, optical fiber communication, and nonlinear effects in optics. The auxiliary equation method is not only suitable for solving specific types of nonlinear partial differential equations, but also has strong applicability to all kinds of different types of equations. It helps us to deduce the exact solution of the equation faster and analyzes the dynamic behavior of the system further. The extended fourth Jacobi elliptic equation is used in this paper to seek different types of exact solutions, which include bright soliton solutions, kink solutions, periodic wave solutions, and singular traveling wave solutions via selecting appropriate parameters.The characteristics of some solutions are graphically presented using two- and three-dimensional graphs such as the real part, the imaginary part, and their modulus via providing suitable values to arbitrary parameters. Compared to other methods, the method is more direct and easier for calculations. Kindly check and confirm the edit made in the title. The edit made in the title is correct. The word "extended“ in the title can be deleted if necessary.

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Title: The exact solutions of Schrödinger–Hirota equation based on the auxiliary equation method
Authors: Yajun Du
Tianle Yin
Jing Pang
Publication date: 01-05-2024
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 5/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-024-06283-0

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