Enhanced group classification of Benjamin-Bona-Mahony-Burgers equations

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• 作者：Olena Vaneeva^a ; ^{vaneeva@imath.kiev.ua} ; Severin Po&scaron ; ta^b ; ^{severin.posta@fjfi.cvut.cz} ; Christodoulos Sophocleous^c ; ^{christod@ucy.ac.cy}
• 关键词：Benjamin&ndash ; Bona&ndash ; Mahony&ndash ; Burgers equations ; Lie group classification ; Equivalence transformations ; Similarity reductions ; Exact solutions
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：65
• 期：Complete
• 页码：19-25
• 全文大小：757 K
• 卷排序：65

文摘

A class of the Benjamin–Bona–Mahony–Burgers (BBMB) equations with time-dependent coefficients is investigated with the Lie symmetry point of view. The set of admissible transformations of the class is described exhaustively. The complete group classification is performed using the method of mapping between classes. The derived Lie symmetries are used to reduce BBMB equations to ordinary differential equations. Some exact solutions are constructed.