Browsing by Author "Aliyu, Aliyu Ise"

Now showing 1 - 2 of 2

Citation - WoS: 30
Citation - Scopus: 35
Dark-Bright Optical Soliton and Conserved Vectors to the Biswas-Arshed Equation With Third-Order Dispersions in the Absence of Self-Phase Modulation
(Frontiers Media Sa, 2019) Aliyu, Aliyu Ise; Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru; Bayram, Mustafa; 56389; Matematik
The form-I version of the new celebrated Biswas-Arshed equation is studied in this work with the aid of complex envelope ansatz method. The equation is considered when self-phase is absent and velocity dispersion is negligibly small. New Dark-bright optical soliton solution of the equation emerge from the integration. The acquired solution combines the features of dark and bright solitons in one expression. The solution obtained are not yet reported in the literature. Moreover, we showed that the equation possess conservation laws (Cls).
Citation - WoS: 4
Citation - Scopus: 4
Invariant Subspace and Classification of Soliton Solutions of the Coupled Nonlinear Fokas-Liu System
(Frontiers Media Sa, 2019) Aliyu, Aliyu Ise; Baleanu, Dumitru; Li, Yongjin; Baleanu, Dumitru; 56389; Matematik
In this work, the coupled nonlinear Fokas-Liu system which is a special type of KdV equation is studied using the invariant subspace method (ISM). The method determines an invariant subspace and construct the exact solutions of the nonlinear partial differential equations (NPDEs) by reducing them to ordinary differential equations (ODEs). As a result of the calculations, polynomial and logarithmic function solutions of the equation are derived. Further more, the ansatz approached is utilized to derive the topological, non-topological and other singular soliton solutions of the system. Numerical simulation off the obtained results are shown.