Symmetry group analysis and invariant solutions of hydrodynamic-type systems

Symmetry group analysis and invariant solutions of hydrodynamic-type systems

We study point and higher symmetries of systems of the hydrodynamic type with and without an explicit dependence on t,x. We consider such systems which satisfy the existence conditions for an infinite-dimensional group of hydrodynamic symmetries which implies linearizing transformations for these systems. Under additional restrictions on the systems, we obtain recursion operators for symmetries...

Symmetry Groups and Group Invariant Solutions of Partial Differential Equations

2 00 1 Group analysis of hydrodynamic - type systems

We study point and higher symmetries for the hydrodynamic-type systems with two independent variables t and x with and without explicit dependence of the equations on t, x. We consider those systems which possess an infinite group of the hy-drodynamic symmetries, establish existence conditions for this property and, using it, derive linearizing transformations for these systems. The recursion o...

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

On the Localized Invariant Solutions of Some Non-Local Hydrodynamic-Type Models

This paper deals with a family of invariant solutions of some modelling systems of PDE, taking into account non-local effects. These effects are manifested when an intense pulse loading (impact, explosion etc.) is applied to media, possessing an internal structure on mesoscale. Description of the non-linear waves propagation in such media depends in essential way on the ratio of a characteristi...