3 problems

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Non-Noetherian contact symmetries of the minimal surface equation
The minimal surface equation admits contact symmetries $\varphi_k$ indexed by nonnegative integers $k$ , with the relevant sequence introduced in the paper. Non-Noetherian contact s…
Conjectureopenminimal-surface-equation noether-theory symmetry-analysisarXiv posted 2 days ago
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Conjecture 2 on the Noether algebra of systems from linear r-CODEs
Let a linear scalar second-order ordinary differential equation be an r-CODE, and let a system of two linear second-order ordinary differential equations be obtainable from it usin…
Conjectureopennoether-theory ordinary-differential-equations variational-calculusarXiv posted 2 days ago
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Conjecture 1 on the complementary subalgebra of the simplest system
Consider the simplest system of two free-particle equations, whose Noether algebra has dimension $8$ and whose full symmetry algebra is $sl(4,\Re)$ . A complex scalar second-order o…
Conjectureopenlie-algebras noether-theory ordinary-differential-equationsarXiv posted 2 days ago

Non-Noetherian contact symmetries of the minimal surface equation