Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Author: search.filters.author.Aliyu, Aliyu IsaPublisher: search.filters.publisher.de Gruyter Poland Sp Zoo

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  • Article
    Citation - WoS: 20
    Citation - Scopus: 24
    Optimal System, Nonlinear Self-Adjointness and Conservation Laws for Generalized Shallow Water Wave Equation
    (de Gruyter Poland Sp Zoo, 2018) Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa; Baleanu, Dumitru
    In this article, the generalized shallow water wave (GSWW) equation is studied from the perspective of one dimensional optimal systems and their conservation laws (Cls). Some reduction and a new exact solution are obtained from known solutions to one dimensional optimal systems. Some of the solutions obtained involve expressions with Bessel function and Airy function [1-3]. The GSWW is a nonlinear self-adjoint (NSA) with the suitable differential substitution, Cls are constructed using the new conservation theorem.