Abstract
In this paper, the extended direct algebraic (EDA) scheme is utilized for producing more general exact solutions of the Degasperis–Procesi (DP) and Camassa–Holm (CH) equations with Atangana’s conformable derivative. By utilizing a suitable travelling wave transformation, change these equations into ordinary differential equations (ODE). New obtained solutions are in the form of singular, dark, bright, and dark-bright soliton. To clarify the physical structures for such forms of equations, some of the attained solutions are expressed as 2D, 3D, and contour graphs.
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MS: conceptualization, software, writing original draft, formal analysis. AB: revision and validation. AZ: formal analysis and revision. MS: writing the original draft.
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Communicated by Huaizhong Zhao.
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Shakeel, M., Bibi, A., Zafar, A. et al. Solitary wave solutions of Camassa–Holm and Degasperis–Procesi equations with Atangana’s conformable derivative. Comp. Appl. Math. 42, 101 (2023). https://doi.org/10.1007/s40314-023-02238-5
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DOI: https://doi.org/10.1007/s40314-023-02238-5
Keywords
- Degasperis–Procesi (DP) equation
- Camassa–Holm (CH)
- Extended direct algebraic (EDA) scheme
- Soliton solutions