An application of the rational sine–Gordon method to the Hirota equation

In this study, the analytical solution of the Hirota equation by using the rational sine–Gordon expansion method (RSGEM) has been investigated. For this purpose, the mentioned model is converted into an ordinary differential equation by using a wave transformation. After the balancing procedure, a s...

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Bibliographic Details
Published inOptical and quantum electronics Vol. 55; no. 7
Main Authors Kemaloğlu, Beyhan, Yel, Gülnur, Bulut, Hasan
Format Journal Article
LanguageEnglish
Published New York Springer US 01.07.2023
Springer Nature B.V
Subjects
Characterization and Evaluation of Materials
Computer Communication Networks
Differential equations
Electrical Engineering
Exact solutions
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Solitary waves
The rational sine–Gordon expansion method
Analytical technique
Hirota Equation
Bright
Dark
Periodic wave
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Summary:In this study, the analytical solution of the Hirota equation by using the rational sine–Gordon expansion method (RSGEM) has been investigated. For this purpose, the mentioned model is converted into an ordinary differential equation by using a wave transformation. After the balancing procedure, a set of equation system is found. The solutions of the equation system give coefficients both in the considered solution form and in the model. The proposed technique gives new analytical solutions including the dark soliton solutions, bright soliton solutions and periodic wave solutions corresponding to the appropriate coefficient values. We also give geometric interpretations of the obtained solutions to understand the physical meaning better.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-023-04930-6