Abstract
Ponte Academic JournalOct 2017, Volume 73, Issue 10 A Differential Sequence Generated By A Second-Order Recursion OperatorAuthor(s): Adhir MaharajJ. Ponte - Oct 2017 - Volume 73 - Issue 10 doi: 10.21506/j.ponte.2017.10.3 Abstract:The motivation of our investigation is the paper by Petersson {\it et al} \cite{Petersson a} where recursion operators were obtained for a class of semilinear and quasilinear evolution equations. We consider the class of semilinear evolution equations as the basis of our investigation. By setting $a=0, b=0, c=0$ and $u_t=0$ we obtain an ordinary differential equation. We analyse the resulting differential sequence in terms of it's symmetry properties. We also obtain the complete symmetry group for each element of the sequence. Download full text:Check if you have access through your login credentials or your institution Username Password
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