Zobrazeno 1 - 10
of 286
pro vyhledávání: '"beta derivative"'
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-18 (2024)
Abstract In this article, we explore exact solitary wave solutions to the van der Waals equation which is crucial for numerous applications involving a variety of physical occurrences. This system is used to define the behavior of real gases taking i
Externí odkaz:
https://doaj.org/article/637af88b735b4b52b551fdffc92e2d65
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100841- (2024)
The modified equal width equation describes the propagation of shallow water waves in which nonlinear and dispersive effects are significant, including phenomena such as wave breaking, soliton interactions, ion-acoustic waves, energy transfer in plas
Externí odkaz:
https://doaj.org/article/8a0afe8584ca4806902904467fca9102
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100783- (2024)
This study investigates soliton solutions to the (2 + 1)-dimensional space fractional Heisenberg ferromagnetic spin chain equation incorporating beta fractional derivatives that explain the nonlinear propagation of spin wave in the ferromagnetic mate
Externí odkaz:
https://doaj.org/article/f734db9be65c4b44a9994e2b63d51ce2
Autor:
Khush Bukht Mehdi, Zubia Mehdi, Shamaila Samreen, Imran Siddique, Adel A. Elmandouh, Mamdouh E. Elbrolosy, M.S. Osman
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100784- (2024)
The dominant intention of this article is to extract the new exact traveling waves solutions of the nonlinear space-time fractional Sharma-Tasso-Olver equation in the sense of beta-derivative by using three integration schemes namely, Riccati-Bernoul
Externí odkaz:
https://doaj.org/article/06dd97ac0b0146ea881f9b471a678472
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100774- (2024)
In this study, we developed an operational matrix method of integration using Haar wavelets to solve both linear and nonlinear pantograph fractional differential equations by taking Atangana's beta derivative. The proposed method utilizes an operatio
Externí odkaz:
https://doaj.org/article/90ddcb502fd743e2aa260d379cd6e73b
Publikováno v:
Journal of Mechanics of Continua and Mathematical Sciences, Vol 19, Iss 5, Pp 101-115 (2024)
In this article, we extract the diverse solitary wave solutions to the time-fractional perturbed nonlinear Schrödinger equation describing the dynamics of optical solitons travelling through nonlinear optical fibers. The nonlinear fractional differe
Externí odkaz:
https://doaj.org/article/5745c249afce43f5923406b346c74c9a
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-25 (2024)
Abstract In physical domains, Beta derivatives are necessary to comprehend wave propagation across various nonlinear models. In this research work, the modified Sardar sub-equation approach is employed to find the soliton solutions of (1+1)-dimension
Externí odkaz:
https://doaj.org/article/96003428f9ff4fbda09dd56e10bec7c7
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100966- (2024)
In this study, the closed-form wave solutions of the (4+1)-dimensional fractional Davey–Stewartson–Kadomtsev–Petviashvili equation are investigated using the modified auxiliary equation method and the Jacobi elliptic function method. In the ana
Externí odkaz:
https://doaj.org/article/710389acb46a4850b1678586669ac967
Autor:
Dipankar Kumar
Publikováno v:
Heliyon, Vol 10, Iss 14, Pp e34421- (2024)
Qualitative analysis in mathematical modeling has become an important research area within the broad domain of nonlinear sciences. In the realm of qualitative analysis, the bifurcation method is one of the significant approaches for studying the stru
Externí odkaz:
https://doaj.org/article/bff813156d1c47379e3d7e4abc6e0a4c
Publikováno v:
Fractal and Fractional, Vol 8, Iss 10, p 593 (2024)
In this article, exact solutions of the Biswas–Arshed equation are obtained using the extended Weierstrass transformation method (EWTM). This method is widely used in solid-state physics, electrodynamics, and mathematical physics, and it yields exa
Externí odkaz:
https://doaj.org/article/5fb9b91fff424710a65b2526d54b9425