Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg–de Vries equations

This paper aims to investigate the class of fifth-order Korteweg–de Vries equations by devising suitable novel hyperbolic and exponential ansatze. The class under consideration is endowed with a time-fractional order derivative defined in the conformable fractional derivative sense. We realize vario...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2020; no. 1; pp. 1 - 12
Main Authors Park, Choonkil, Nuruddeen, R. I., Ali, Khalid K., Muhammad, Lawal, Osman, M. S., Baleanu, Dumitru
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 07.11.2020
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Difference and Functional Equations
Exponential wave solutions
Fifth-order KdV equations
Fractional derivative
Functional Analysis
Hyperbolic wave solutions
Korteweg-Devries equation
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Problem solving
Solitary wave solutions
Solitary waves
Hyperbolic wave solutions
Exponential wave solutions
Solitary wave solutions
Fifth-order KdV equations
Fractional derivative
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Summary:This paper aims to investigate the class of fifth-order Korteweg–de Vries equations by devising suitable novel hyperbolic and exponential ansatze. The class under consideration is endowed with a time-fractional order derivative defined in the conformable fractional derivative sense. We realize various solitons and solutions of these equations. The fractional behavior of the solutions is studied comprehensively by using 2D and 3D graphs. The results demonstrate that the methods mentioned here are more effective in solving problems in mathematical physics and other branches of science.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-03087-w