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The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations

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dc.contributor.authorRaza, Nauman
dc.contributor.authorRafiq, Muhammad Hamza
dc.contributor.authorKaplan, Melike
dc.contributor.authorKumar, Sunil
dc.contributor.authorChu, Yu-Ming
dc.date.accessioned2026-01-04T15:09:33Z
dc.date.issued2021-03-01
dc.description.abstractThis work studies two important temporal fractional nonlinear evolution equations, namely the (2+1)-dimensional Chaffee–Infante equation and (1+1)-dimensional Zakharov equation by way of the unified method along with properties of local M-derivative. The typical structures of fractional optical soliton wave solutions are obtained in polynomial and rational forms. Further, to grant the validity of non-singular solutions are given with limitation conditions and graphically depicted in 3D. Also, to expose the effect of a local fractional parameter on expected non-singular solutions are depicted through 2D graphs. The predicted solutions are revealing that the proposed approach is straightforward and valuable to find the solitary wave solutions of other nonlinear evolution equations.
dc.description.urihttps://doi.org/10.1016/j.rinp.2021.103979
dc.description.urihttps://doaj.org/article/84c0189107284974b86800f963c2b25a
dc.description.urihttps://dx.doi.org/10.1016/j.rinp.2021.103979
dc.identifier.doi10.1016/j.rinp.2021.103979
dc.identifier.issn2211-3797
dc.identifier.openairedoi_dedup___::491c1ecf8dcc21668d9b4af9c1e84838
dc.identifier.orcid0000-0001-5700-9127
dc.identifier.orcid0000-0003-0620-1068
dc.identifier.orcid0000-0002-0944-2134
dc.identifier.scopus2-s2.0-85100897549
dc.identifier.startpage103979
dc.identifier.urihttps://hdl.handle.net/20.500.12597/38635
dc.identifier.volume22
dc.identifier.wos000630406800084
dc.language.isoeng
dc.publisherElsevier BV
dc.relation.ispartofResults in Physics
dc.rightsOPEN
dc.subjectOptical fractional solitons
dc.subjectPhysics
dc.subjectQC1-999
dc.subjectChaffee–Infante equation
dc.subjectLocal M-derivative
dc.subjectThe unified method
dc.subjectZakharov equation
dc.titleThe unified method for abundant soliton solutions of local time fractional nonlinear evolution equations
dc.typeArticle
dspace.entity.typePublication
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