Convex-rogue, half-kink, cusp-soliton and other bidirectional wave-solutions to the generalized Pochhammer-Chree equation

• Published in: Physica scripta Vol. 97; no. 5; pp. 55203 - 55211
• Main Authors: Jaradat, Imad, Alquran, Marwan, Qureshi, Sania, Sulaiman, Tukur A, Yusuf, Abdullahi
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01-05-2022
• Subjects: bidirectional wave-solutions; Kudryashov-expansion method; modified sine-cosine function method; Pochhammer-Chree equation; polynomial function method
• ISSN: 0031-8949; 1402-4896
• DOI: 10.1088/1402-4896/ac5f25

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.