Nonlinear PDEs 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 of new equations, constructed starting from the conditional symmetries of Boussinesq, are presented and discussed thoroughly to show and clarify the methodology introduced.
Levi, D., Rodríguez, M.A., Thomova, Z. (2019). Construction of Partial Differential Equations with Conditional Symmetries. In S. Kuru (a cura di), Integrability, Supersymmetry and Coherent States, A Volume in Honour of Professor Véronique Hussin, (pp. 375-386) [10.1007/978-3-030-20087-9_17].
Construction of Partial Differential Equations with Conditional Symmetries
Levi, Decio;
2019-01-01
Abstract
Nonlinear PDEs 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 of new equations, constructed starting from the conditional symmetries of Boussinesq, are presented and discussed thoroughly to show and clarify the methodology introduced.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
