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Dr. Mohamed Reda Ali Mohamed :: Publications: |
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| Title: | Detection of new multi-wave solutions in an unbounded domain
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| Authors: | Mohamed R. Ali and Wen-Xiu Ma |
| Year: | 2019 |
| Keywords: | Integrating factors, Lie transformation, (2+1)-dimensional Zoomeron equation, (3+1)-dimensional shallow water wave equation |
| Journal: | Modern Physics Letters B |
| Volume: | 33 |
| Issue: | 31 |
| Pages: | 11 |
| Publisher: | world scientific.com |
| Local/International: | International |
| Paper Link: | |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
We deduce new explicit traveling wave solutions for Zoomeron evolution equation and (3+1)-dimensional shallow water wave equation. The reduction process using Lie vectors leads in some cases to ordinary differential equations (ODEs) that having no quadrature. The integrating factor property has been used to derive several new solutions for these nonsolvable ODEs. These solutions have been illustrated with three dimensions plots. Comparison with other works are presented. |
