Differential equations invariant under conditional symmetries.
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2019
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Taylor & Francis LTD
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Abstract
Nonlinear PDE's having given conditional symmetries are constructed. They are obtained starting from the invariants of the conditional symmetry generator and imposing the extra condition given by the characteristic of the symmetry. Series of examples starting from the Boussinesq and including non-autonomous Korteweg-de Vries like equations are given to show and clarify the methodology introduced.
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© 2019 Taylor & Francis LTD.
DL has been supported by INFN IS-CSN4 Mathematical Methods of Nonlinear Physics. DL thanks ZT and the SUNY Polytechnic Institute for their warm hospitality at Utica when this work was started. DL thanks the Departamento de Fisica Teorica of the Universidad Complutense de Madrid for its hospitality. MAR was supported by the Spanish MINECO under project FIS 2015-63966-P. D. Nedza, summer student of ZT, contributed to the verification of some of the computations.