Generalized Variational Principle for the Fractal (2 + 1)-Dimensional Zakharov–Kuznetsov Equation in Quantum Magneto-Plasmas

In this paper, we propose the fractal (2 + 1)-dimensional Zakharov–Kuznetsov equation based on He’s fractal derivative for the first time. The fractal generalized variational formulation is established by using the semi-inverse method and two-scale fractal theory. The obtained fractal variational pr...
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Autor*in:	Yan-Hong Liang [verfasserIn] Kang-Jia Wang [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	fractal variational principle semi-inverse method two-scale fractal theory symmetry

Übergeordnetes Werk:	In: Symmetry - MDPI AG, 2009, 13(2021), 6, p 1022
Übergeordnetes Werk:	volume:13 ; year:2021 ; number:6, p 1022

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/sym13061022

Katalog-ID:	DOAJ085581461

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allfieldsSound	10.3390/sym13061022 doi (DE-627)DOAJ085581461 (DE-599)DOAJde9c83eb7ca84f10bcbe28d91d7d9c95 DE-627 ger DE-627 rakwb eng QA1-939 Yan-Hong Liang verfasserin aut Generalized Variational Principle for the Fractal (2 + 1)-Dimensional Zakharov–Kuznetsov Equation in Quantum Magneto-Plasmas 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we propose the fractal (2 + 1)-dimensional Zakharov–Kuznetsov equation based on He’s fractal derivative for the first time. The fractal generalized variational formulation is established by using the semi-inverse method and two-scale fractal theory. The obtained fractal variational principle is important since it not only reveals the structure of the traveling wave solutions but also helps us study the symmetric theory. The finding of this paper will contribute to the study of symmetry in the fractal space. fractal variational principle semi-inverse method two-scale fractal theory symmetry Mathematics Kang-Jia Wang verfasserin aut In Symmetry MDPI AG, 2009 13(2021), 6, p 1022 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:13 year:2021 number:6, p 1022 https://doi.org/10.3390/sym13061022 kostenfrei https://doaj.org/article/de9c83eb7ca84f10bcbe28d91d7d9c95 kostenfrei https://www.mdpi.com/2073-8994/13/6/1022 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 13 2021 6, p 1022
language	English
source	In Symmetry 13(2021), 6, p 1022 volume:13 year:2021 number:6, p 1022
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callnumber-first	Q - Science
author	Yan-Hong Liang
spellingShingle	Yan-Hong Liang misc QA1-939 misc fractal variational principle misc semi-inverse method misc two-scale fractal theory misc symmetry misc Mathematics Generalized Variational Principle for the Fractal (2 + 1)-Dimensional Zakharov–Kuznetsov Equation in Quantum Magneto-Plasmas
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topic_title	QA1-939 Generalized Variational Principle for the Fractal (2 + 1)-Dimensional Zakharov–Kuznetsov Equation in Quantum Magneto-Plasmas fractal variational principle semi-inverse method two-scale fractal theory symmetry
topic	misc QA1-939 misc fractal variational principle misc semi-inverse method misc two-scale fractal theory misc symmetry misc Mathematics
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title	Generalized Variational Principle for the Fractal (2 + 1)-Dimensional Zakharov–Kuznetsov Equation in Quantum Magneto-Plasmas
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title_full	Generalized Variational Principle for the Fractal (2 + 1)-Dimensional Zakharov–Kuznetsov Equation in Quantum Magneto-Plasmas
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title_sort	generalized variational principle for the fractal (2 + 1)-dimensional zakharov–kuznetsov equation in quantum magneto-plasmas
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title_auth	Generalized Variational Principle for the Fractal (2 + 1)-Dimensional Zakharov–Kuznetsov Equation in Quantum Magneto-Plasmas
abstract	In this paper, we propose the fractal (2 + 1)-dimensional Zakharov–Kuznetsov equation based on He’s fractal derivative for the first time. The fractal generalized variational formulation is established by using the semi-inverse method and two-scale fractal theory. The obtained fractal variational principle is important since it not only reveals the structure of the traveling wave solutions but also helps us study the symmetric theory. The finding of this paper will contribute to the study of symmetry in the fractal space.
abstractGer	In this paper, we propose the fractal (2 + 1)-dimensional Zakharov–Kuznetsov equation based on He’s fractal derivative for the first time. The fractal generalized variational formulation is established by using the semi-inverse method and two-scale fractal theory. The obtained fractal variational principle is important since it not only reveals the structure of the traveling wave solutions but also helps us study the symmetric theory. The finding of this paper will contribute to the study of symmetry in the fractal space.
abstract_unstemmed	In this paper, we propose the fractal (2 + 1)-dimensional Zakharov–Kuznetsov equation based on He’s fractal derivative for the first time. The fractal generalized variational formulation is established by using the semi-inverse method and two-scale fractal theory. The obtained fractal variational principle is important since it not only reveals the structure of the traveling wave solutions but also helps us study the symmetric theory. The finding of this paper will contribute to the study of symmetry in the fractal space.
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title_short	Generalized Variational Principle for the Fractal (2 + 1)-Dimensional Zakharov–Kuznetsov Equation in Quantum Magneto-Plasmas
url	https://doi.org/10.3390/sym13061022 https://doaj.org/article/de9c83eb7ca84f10bcbe28d91d7d9c95 https://www.mdpi.com/2073-8994/13/6/1022 https://doaj.org/toc/2073-8994
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Generalized Variational Principle for the Fractal (2 + 1)-Dimensional Zakharov–Kuznetsov Equation in Quantum Magneto-Plasmas

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