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Effects of wave solutions on shallow-water equation, optical- fibre equation and electric-circuit equation |
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| รหัสดีโอไอ | |
| Creator | Sirasrete Phoosree |
| Title | Effects of wave solutions on shallow-water equation, optical- fibre equation and electric-circuit equation |
| Contributor | Weerachai Thadee, Aungkanaporn Chankaew |
| Publisher | Maejo University |
| Publication Year | 2565 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 16 |
| Journal No. | 3 |
| Page no. | 262 |
| Keyword | wave solutions, fractional Estevez-Mansfield-Clarkson equation, fractional Ablowitz-Kaup-Newell-Segur equation, fractional modified Korteweg-de Vries equation, Kudryashov method |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | The fractional non-linearity of space-and-time of Estevez-Mansfield-Clarkson equation, Ablowitz-Kaup-Newell-Segur equation and modified Korteweg-de Vries equation reveals the effects on shallow-water waves, optical-fibre waves and electric-circuit waves respectively. Using the fractional derivative of Jumarie s Riemann-Liouville and a combination of Kudryashov method and the process of establishing the answer in finite series, the procedure is called the transformation of fractional non-linearity of partial differential equations into the non-linearity of ordinary differential equations. The newly discovered analytical solutions take the form of exponential functions, which ultimately leads to the occurrence of physical wave effects. These effects are manifested in kink and periodic waves, and they are separately depicted by 2-D, 3-D and contour graphs. |
