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.
Levi, D., Rodriguez, M.A., Thomova, Z. (2019). Differential Equations Invariant Under Conditional Symmetries. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 26(2), 281-293 [10.1080/14029251.2019.1591731].
Differential Equations Invariant Under Conditional Symmetries
Levi D.
;
2019-01-01
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.File in questo prodotto:
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