TY - JOUR AU - González Gascón, Francisco AU - Ramos, F.B. AU - Aguirre Dabán, Eduardo PY - 1982 DO - http://0-link.aip.org.cisne.sim.ucm.es/link/doi/10.1063/1.525306 SN - 1089-7658 UR - https://hdl.handle.net/20.500.14352/64795 T2 - Journal of Mathematical Physics AB - It is shown that any first integral of type P2()—a polynomial of degree 2 in —of the differential equation =Vx can be obtained from a pointlike gauge symmetry of the action AL associated to L= 1/2 2+V(t,x). The same result holds for any first integral... M2 - 2281 PB - American Institute of Physics KW - Partial differential equations KW - polynomials KW - langragian function KW - gauge invariance TI - On the polynomial first integrals of certain second‐order differential equations TY - journal article VL - 23 ER -