By a News Reporter-Staff News Editor at Journal of Mathematics -- Current study results on Mathematics - Computational Mathematics have been published. According to news reporting originating from Xuzhou, People’s Republic of China, by VerticalNews correspondents, research stated, “In this paper, the (3 + 1)-dimensional Hirota bilinear equation is investigated, which can be used to describe the nonlinear dynamic behavior in physics. By using the Bell polynomials, the bilinear form of the equation is derived in a very natural way.”
Our news editors obtained a quote from the research from the China University of Mining and Technology, “Based on the resulting bilinear form, its N-solitary waves are further obtained by using the Hi rota’s bilinear theory. Finally, by using the Homoclinic test method, we obtain its rational breather wave and rogue wave solutions, respectively.”
According to the news editors, the research concluded: “In order to better understand the dynamical behaviors of the equation, some graphical analyses are discussed for these exact solutions.”
For more information on this research see: Solitary waves, homoclinic breather waves and rogue waves of the (3+1)-dimensional Hirota bilinear equation. Computers & Mathematics with Applications , 2018;75(3):957-964. Computers & Mathematics with Applications can be contacted at: Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, England. (Elsevier - www.elsevier.com; Computers & Mathematics with Applications - http://www.journals.elsevier.com/computers-and-mathematics-with-applications/)
The news editors report that additional information may be obtained by contacting S.F. Tian, China Univ Min & Technol, Inst Math Phys, Xuzhou 221116, People’s Republic of China. Additional authors for this research include M.J. Dong, X.W. Yan and L. Zou.
The direct object identifier (DOI) for that additional information is: https://doi.org/10.1016/j.camwa.2017.10.037. This DOI is a link to an online electronic document that is either free or for purchase, and can be your direct source for a journal article and its citation.
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CITATION: (2018-04-10), New Computational Mathematics Findings from China University of Mining and Technology Outlined [Solitary waves, homoclinic breather waves and rogue waves of the (3+1)-dimensional Hirota bilinear equation], Journal of Mathematics, 402, ISSN: 1945-8746, BUTTER® ID: 015475516
From the newsletter Journal of Mathematics.
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