Abstract
We deduce new explicit traveling wave solutions for Zoomeron evolution equation and (3[Formula: see text]+[Formula: see text]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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