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M. Torrisi

Publications and source records attributed to M. Torrisi.

2 recordsLinked to original sources
arXiv2005

Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger equation

By using the Lie's invariance infinitesimal criterion we obtain the continuous equivalence transformations of a class of nonlinear Schrödinger equations with variable coefficients. Starting from the equivalence generators we construct the differential invariants of order one. We apply these latter ones to find the most general subclass of variable coefficient nonlinear Schrödinger equations which can be mapped, by means of an equivalence transformation, to the well known cubic Schrödinger equation. We also provide the explicit form of the transformation.

nlin.SI↗
arXiv2004

On the differential invariants of a family of diffusion equations

The equivalence transformation algebra $L_{\cal E}$ for the class of equations $u_t -u_{xx}=f(u, u_x) $ is obtained. After getting the differential invariants with respect to $L_{\cal E}$, some results which allow to linearize a subclass of equations are showed. Equations like the standard deterministic KPZ equation fall in this subclass.

nlin.SI↗