Jacobi Elliptic Function Expansion Method for Solving KdV Equation with Conformable Derivative and Dual-Power Law Nonlinearity

• Published in: International journal of applied and computational mathematics Vol. 5; no. 5; pp. 1 - 10
• Main Authors: Kumar, V. Senthil, Rezazadeh, Hadi, Eslami, Mostafa, Izadi, Franoosh, Osman, M. S
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.10.2019; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied mathematics; Computational mathematics; Computational Science and Engineering; Elliptic functions; Korteweg-Devries equation; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nonlinearity; Nuclear Energy; Operations Research/Decision Theory; Original Paper; Power law; Solitary waves; Theoretical; Traveling waves; Dual-power law nonlinearity; KdV equation with conformable derivative; Traveling wave solutions
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-019-0710-3

In this work, the KdV equation with conformable derivative and dual-power law nonlinearity is considered. It is exceedingly used as a model to depict the feeble nonlinear long waves in different fields of sciences. Furthermore, it explains the comparable effects of weak dispersion and weak nonlinearity on the evolvement of the nonlinear waves. Using the Jacobi elliptic function expansion method, new exact solutions of that equation have been found. As results, some obtained solutions behave as periodic traveling waves, bright soliton, and dark soliton.