Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 6Citation - Scopus: 6Analytical Mathematical Schemes: Circular Rod Grounded Via Transverse Poisson's Effect and Extensive Wave Propagation on the Surface of Water(de Gruyter Poland Sp Z O O, 2020) Seadawy, Aly R.; Baleanu, Dumitru; Ali, AsgharThis article scrutinizes the efficacy of analytical mathematical schemes, improved simple equation and exp(-Psi(xi))-expansion techniques for solving the well-known nonlinear partial differential equations. A longitudinal wave model is used for the description of the dispersion in the circular rod grounded via transverse Poisson's effect; similarly, the Boussinesq equation is used for extensive wave propagation on the surface of water. Many other such types of equations are also solved with these techniques. Hence, our methods appear easier and faster via symbolic computation.Article Citation - WoS: 86Citation - Scopus: 90New Analytical Wave Structures for the (3(Elsevier, 2019) Tariq, K. U.; Osman, M. S.; Baleanu, D.; Younis, M.; Khater, M. M. A.; Lu, D.Different types of soliton wave solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq equations are investigated via the solitary wave ansatz method. These solutions are classified into three categories, namely solitary wave, shock wave, and singular wave solutions. The corresponding integrability criteria, termed as constraint conditions, obviously arise from the study. Moreover, the influences of the free parameters and interaction properties in these solutions are discussed graphically for physical interests and possible applications.