A variety of wave amplitudes for the conformable fractional (2 + 1)-dimensional Ito equation
| Autor: | Mehmet Şenol, Emad A. Az-Zo’bi, Lanre Akinyemi, Basem S. Masaedeh, Wael Ahmad AlZoubi |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
One-dimensional space Mathematical analysis Elliptic function Statistical and Nonlinear Physics 010103 numerical & computational mathematics Derivative Conformable matrix Condensed Matter Physics 01 natural sciences 010101 applied mathematics Nonlinear system Exact solutions in general relativity Amplitude 0101 mathematics Variety (universal algebra) |
| Zdroj: | Modern Physics Letters B. 35:2150254 |
| ISSN: | 1793-6640 0217-9849 |
| Popis: | The conformable derivative and adequate fractional complex transform are implemented to discuss the fractional higher-dimensional Ito equation analytically. The Jacobi elliptic function method and Riccati equation mapping method are successfully used for this purpose. New exact solutions in terms of linear, rational, periodic and hyperbolic functions for the wave amplitude are derived. The obtained solutions are entirely new and can be considered as a generalization of the existing results in the ordinary derivative case. Numerical simulations of some obtained solutions with special choices of free constants and various fractional orders are displayed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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