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Invariant analysis and conservation laws of ([formula omitted]) dimensional time-fractional ZK–BBM equation in gravity water waves.

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Title: Invariant analysis and conservation laws of ([formula omitted]) dimensional time-fractional ZK–BBM equation in gravity water waves.
Authors: Saha Ray, S.1, Sahoo, S.2
Source: Computers & Mathematics with Applications. Apr2018, Vol. 75 Issue 7, p2271-2279. 9p.
Subjects: Mathematical invariants, Invariant imbedding, Conservation laws (Mathematics), Numerical solutions to conservation laws, Dimensional analysis, Gravity
Abstract: This paper intends to make an in-depth study on the symmetry properties and conservation laws of the ( 2 + 1 ) dimensional time fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZK–BBM) equation with Riemann–Liouville fractional derivative. Symmetry properties have been investigated here via Lie symmetry analysis method. In view of Erdélyi-Kober fractional differential operator, the reduction of ( 2 + 1 ) dimensional time fractional ZK–BBM equation has been done into fractional ordinary differential equation. To analyse the conservation laws, new theorem of conservation law has been proposed here for constructing the new conserved vectors for ( 2 + 1 ) dimensional time fractional ZK–BBM equation with the help of formal Lagrangian. [ABSTRACT FROM AUTHOR]
Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 129608173
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  Data: <searchLink fieldCode="JN" term="%22Computers+%26+Mathematics+with+Applications%22">Computers & Mathematics with Applications</searchLink>. Apr2018, Vol. 75 Issue 7, p2271-2279. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Mathematical+invariants%22">Mathematical invariants</searchLink><br /><searchLink fieldCode="DE" term="%22Invariant+imbedding%22">Invariant imbedding</searchLink><br /><searchLink fieldCode="DE" term="%22Conservation+laws+%28Mathematics%29%22">Conservation laws (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+solutions+to+conservation+laws%22">Numerical solutions to conservation laws</searchLink><br /><searchLink fieldCode="DE" term="%22Dimensional+analysis%22">Dimensional analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Gravity%22">Gravity</searchLink>
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  Data: This paper intends to make an in-depth study on the symmetry properties and conservation laws of the ( 2 + 1 ) dimensional time fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZK–BBM) equation with Riemann–Liouville fractional derivative. Symmetry properties have been investigated here via Lie symmetry analysis method. In view of Erdélyi-Kober fractional differential operator, the reduction of ( 2 + 1 ) dimensional time fractional ZK–BBM equation has been done into fractional ordinary differential equation. To analyse the conservation laws, new theorem of conservation law has been proposed here for constructing the new conserved vectors for ( 2 + 1 ) dimensional time fractional ZK–BBM equation with the help of formal Lagrangian. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.camwa.2017.12.001
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 2271
    Subjects:
      – SubjectFull: Mathematical invariants
        Type: general
      – SubjectFull: Invariant imbedding
        Type: general
      – SubjectFull: Conservation laws (Mathematics)
        Type: general
      – SubjectFull: Numerical solutions to conservation laws
        Type: general
      – SubjectFull: Dimensional analysis
        Type: general
      – SubjectFull: Gravity
        Type: general
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      – TitleFull: Invariant analysis and conservation laws of ([formula omitted]) dimensional time-fractional ZK–BBM equation in gravity water waves.
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              Text: Apr2018
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              Y: 2018
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