Abstract
The generalized Pochhammer-Chree equation is considered and studied for different orders of its nonlinearity terms The Kudryashov-expansion method is used and bidirectional kink, singular-kink, rogue-periodic, and V-shaped wave-solutions are obtained. Moreover, we modify the sine-cosine function method to accommodate the current model and obtain symmetric half-kink, convex-rogue, and cusp bidirectional waves. On the other side, a graphical analysis is conducted to identify the physical shapes of the obtained solutions to the proposed model. Finally, the polynomial function method is implemented to validate the reported solutions.
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