Optimal System, Nonlinear Self-Adjointness and Conservation Laws for Generalized Shallow Water Wave Equation
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
de Gruyter Poland Sp Zoo
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Top 10%
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Top 10%
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Top 10%
Abstract
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.
Description
Yusuf, Abdullahi/0000-0002-8308-7943; Isa Aliyu, Aliyu/0000-0002-9756-7374
Keywords
Gsww, Optimal System, Cls, Infinitesimal Generators, Nsa, 02.30.hq, 02.30.jr, cls, Physics, QC1-999, nsa, gsww, optimal system, 02.20.sv, 02.20.qs, infinitesimal generators
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; et al., "Optimal system, nonlinear self-adjointness and conservation laws for generalized shallow water wave equation", Open Physics, Vol. 16, No. 1, pp.364-370, (2018).
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
20
Source
Open Physics
Volume
16
Issue
1
Start Page
364
End Page
370
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CrossRef : 13
Scopus : 22
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