We introduce a new type of recursion operator suitable to generate a class of nonlocal symmetries for those second-order evolution equations in 1+1 dimension which allow the complete integration of their time-independent versions. We show that this class of evolution equations is C-integrable (linearizable by a point transformation). We also discuss some applications.
ON NONLOCAL SYMMETRIES GENERATED BY RECURSION OPERATORS: SECOND-ORDER EVOLUTION EQUATIONS / Euler, Marianna; Euler, Norbert; NUCCI, Maria Clara. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 37:8(2017), pp. 4239-4247. [10.3934/dcds.2017181]
ON NONLOCAL SYMMETRIES GENERATED BY RECURSION OPERATORS: SECOND-ORDER EVOLUTION EQUATIONS
NUCCI, Maria Clara
2017
Abstract
We introduce a new type of recursion operator suitable to generate a class of nonlocal symmetries for those second-order evolution equations in 1+1 dimension which allow the complete integration of their time-independent versions. We show that this class of evolution equations is C-integrable (linearizable by a point transformation). We also discuss some applications.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
