Similarity Solutions for the Complex Burgers’ Hierarchy
نویسندگان
چکیده
منابع مشابه
Exact solutions of equations for the Burgers hierarchy
Some classes of the rational, periodic and solitary wave solutions for the Burgers hierarchy are presented. The solutions for this hierarchy are obtained by using the generalized Cole Hopf transformation.
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The Burgers equation with linear damping has been subjected to Lie's group theoretic method of infinitesimal transformation to derive its solutions. To the best of our knowledge, we are the first to obtain a new similarity variable for an equation of the Burgers type and therefore provide new solutions.
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Spatially periodic complex-valued solutions of the Burgers and KdV-Burgers equations are studied in this paper. It is shown that for any sufficiently large time T , there exists an explicit initial data such that its corresponding solution of the Burgers equation blows up at T . In addition, the global convergence and regularity of series solutions is established for initial data satisfying mil...
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ژورنال
عنوان ژورنال: Zeitschrift für Naturforschung A
سال: 2019
ISSN: 1865-7109,0932-0784
DOI: 10.1515/zna-2018-0541