Bulletin KRASEC. Phys. & Math. Sci. 2017. vol. 16, issue. 1. pp. 45-51. ISSN 2313-0156

DOI: 10.18454/2313-0156-2017-16-1-45-51

MSC 34A34, 70H33, 70S10, 34A05

CONSERVATION LAWS AND SIMILARITY REDUCTION OF THE ZOOMERON EQUATION

S. R. Hejazi, A. Naderifard, S. Rashidi

Department of Mathematical Sciences, Shahrood University of Technology, 3619995161, Shahrood, Semnan, Iran.
E-mail: ra.hejazi@gmail.com

In this study, we consider a 4-th order (1+1)-dimensional PDE called Zoomeron equation. Some conservation laws are derived based on direct method. We also derived some similarity solutions using the symmetries.

Key words: Zoomeron equation, Lie point symmetries, conservation laws, multiplier, similarity solution.

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For citation: Hejazi S. R., Naderifard A., Rashidi S. Conservation Laws and Similarity Reduction of the Zoomeron equation. Bulletin KRASEC. Physical and Mathematical Sciences 2017, vol. 16, issue 1, 45-51. DOI: 10.18454/2313-0156-2017-16-1-45-51.

Original article submitted: 30.05.2016

s-reza-hejazi

   

  Hejazi Reza Seyed  — Ph.D. (Differential Geometry), Assist. Professor, Department of Mathematics Sciences, University of Shahrood, Shahrood, Semnan, Iran.

 

 

    

 

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a-naderifard   

 

     Naderifard A. — Ph.D. (Differential Geometry), Reseacher, Department of Mathematics Sciences, University of Shahrood, Shahrood, Semnan, Iran.

 

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s-rashidi   

 

 

   Rashidi S.  — Ph.D. (Differential Geometry), Reseacher, Department of Mathematics Sciences, University of Shahrood, Shahrood, Semnan, Iran.

   

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