Nonclassical symmetries of a class of Burgers' systems |
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| Authors: | Daniel J. Arrigo David A. Ekrut Jackson R. Fliss Long Le |
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| Affiliation: | Department of Mathematics, University of Central Arkansas, Conway, AR 72035, United States |
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| Abstract: | The nonclassical symmetries of a class of Burgers' systems are considered. This study was initialized by Cherniha and Serov with a restriction on the form of the nonclassical symmetry operator. In this paper we remove this restriction and solve the determining equations to show that (1) a new form of a Burgers' system exists that admits a nonclassical symmetry and (2) a Burgers' system exists that is linearizable. |
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| Keywords: | Burgers' systems Nonclassical symmetry |
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