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On the Classification of Conservation Laws and Soliton Solutions of the Long Short-Wave Interaction System

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dc.contributor.author İnç, Mustafa
dc.contributor.author Aliyu, Aliyu Isa
dc.contributor.author Yusuf, Abdullahi
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-03-27T07:50:54Z
dc.date.available 2020-03-27T07:50:54Z
dc.date.issued 2018-06-30
dc.identifier.citation Inc, Mustafa...et al. (2018). "On the classification of conservation laws and soliton solutions of the long short-wave interaction system", Modern Physics Letters B, Vol. 32. tr_TR
dc.identifier.issn 0217-9849
dc.identifier.uri http://hdl.handle.net/20.500.12416/2762
dc.description.abstract In this paper, the classification of conservation laws (Cis) of the long short-wave interaction system (LSWS) which appears in fluid mechanics as well as plasma physics is implemented using two Cls theorems, namely, the multipliers approach and the new conservation theorem. The LSWS describes the interaction between one long longitudinal wave and one short transverse wave propagating in a generalized elastic medium. The zeroth-order multipliers and the nonlinear self-adjoint substitutions of the model are derived. Considering the fact that the new conservation theorem needs Lie point symmetries in constructing Cls, we derive the point symmetries of a system of nonlinear partial differential equations (NPDEs) acquired by transforming the model into real and imaginary components. Moreover, we derive some kink-type, bell-shaped, singular and combined soliton solutions to the model using the powerful sine-Gordon expansion method (SGEM). Some figures are presented to show the physical interpretations of the acquired results. tr_TR
dc.language.iso eng tr_TR
dc.publisher World Scientific Publ CO PTE LTD tr_TR
dc.relation.isversionof 10.1142/S0217984918502020 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Long Short-Wave Interaction System tr_TR
dc.subject Sine-Gordon Expansion Method tr_TR
dc.subject Conservation Laws tr_TR
dc.subject Multipliers tr_TR
dc.title On the Classification of Conservation Laws and Soliton Solutions of the Long Short-Wave Interaction System tr_TR
dc.type article tr_TR
dc.relation.journal Modern Physics Letters B tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 32 tr_TR
dc.identifier.issue 18 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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