3 papers
math-ph2005
Nonclassical symmetry and Riemann invariants
Souichi Murata
In this paper it is shown that Riemann invariants are invariant under nonclassical symmetries of a hyperbolic system. As a specific example, we study the one-dimensional shallow wa…
nlin.SI2004
New class of symmetries for self-gravitating hydrodynamics equations
Souichi Murata, Kazuhiro Nozaki
A method of calculating a new class of symmetries is presented for partial differential equations. The method give a new dynamical solution for an isothermal and cylindrically symm…
astro-ph2003
Dynamics of gas sphere under self-gravity
Souichi Murata, Kazuhiro Nozaki
A new dynamical solution for a gas sphere under self-gravity is presented to describe a development of a gas sphere from a motion-less state to a state of expansion with a constant…