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publication name Detection of new multi-wave solutions in an unbounded domain
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 https://www.worldscientific.com/doi/abs/10.1142/S0217984919504256
Full paper download
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.

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