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.
Euler, M., Euler, N., NUCCI, M.C. (2017). ON NONLOCAL SYMMETRIES GENERATED BY RECURSION OPERATORS: SECOND-ORDER EVOLUTION EQUATIONS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 37(8), 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.File in questo prodotto:
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