A new study of soliton solutions for the variable coefficients Caudrey-Dodd-Gibbon equation

We present a paper on the different methods for finding solutions to the Caudrey-Dodd-Gibbon equation with variable coefficients, which has wide applications in quantum mechanics and nonlinear optics. We have studied the equation analytically by using the unified method and the modified Kudryashov m...

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Bibliographic Details
Published inJournal of Taibah University for Science Vol. 16; no. 1; pp. 763 - 773
Main Authors Yin, Qinglian, Gao, Ben
Format Journal Article
LanguageEnglish
Published Taylor & Francis 31.12.2022
Taylor & Francis Group
Subjects
equations
optics
quantum mechanics
Soliton solutions
symbolic computation
the Caudrey-Dodd-Gibbon equation
the modified Kudryashov method
the unified method
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Summary:We present a paper on the different methods for finding solutions to the Caudrey-Dodd-Gibbon equation with variable coefficients, which has wide applications in quantum mechanics and nonlinear optics. We have studied the equation analytically by using the unified method and the modified Kudryashov method. With the aid of symbolic computation and several types of auxiliary equations, we have obtained soliton solutions and other solutions. Then, we assign different values to the parameters, generating two-dimensional and three-dimensional graphics of the solutions, and discuss the interaction of several groups of solion solutions to form periodic wave solutions and kink solitary wave solutions.
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ISSN:1658-3655
1658-3655
DOI:10.1080/16583655.2022.2116922