Geometrical study and solutions for family of burgers-like equation with fractional order space time
One of the basic hydrodynamic models is the famous Burgers formula. This describes the creation of the sticky particle velocity field which interacts only when it collides. In the present paper, we are going to give a systematic formulation of a new family of Burgers-like equations with fractional s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-01-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001682100394X |
| Summary: | One of the basic hydrodynamic models is the famous Burgers formula. This describes the creation of the sticky particle velocity field which interacts only when it collides. In the present paper, we are going to give a systematic formulation of a new family of Burgers-like equations with fractional space–time order. Exact solutions are constructed by using the direct method. A geometrical study for the fractional space is presented and applied to the obtained solutions. The present solutions are the same as the integer one and revealed that the arbitrariness of fraction orders makes systems even richer. |
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| ISSN: | 1110-0168 |