Search Results - "Murata, Souichi"

  • Showing 1 - 16 results of 16
Refine Results
  1. 1
  2. 2

    Exact expanding solution of gas sphere under gravity by MURATA, Souichi, NOZAKI, Kazuhiro

    Published in Journal of the Physical Society of Japan (01-12-2002)
    “…Exact solutions describing a uniformly expanding or contracting gas sphere of the polytoropic index 3 and an isothermal gas cylinder under gravity are…”
    Get full text
    Journal Article
  3. 3

    Nonclassical symmetry of nonlinear diffusion equation and factorization method by Murata, Souichi

    “…We present the nonclassical symmetry of a nonlinear diffusion equation whose a nonlinear term is an arbitrary function. Generally, there is no guarantee that…”
    Get full text
    Journal Article
  4. 4

    Symmetry of magnetized self-gravitating hydrodynamic equation by Murata, Souichi

    Published in Chaos, solitons and fractals (30-01-2009)
    “…We deal with a polytropic gas model for the gravitational collapse of a magnetized self-gravitating isothermal cylinder. We concentrate on radial distribution…”
    Get full text
    Journal Article
  5. 5

    Nonclassical symmetry analysis for hyperbolic partial differential equation by Murata, Souichi

    “…We consider the nonclassical symmetry of one-dimensional hyperbolic differential equations of the form u t + M( u) u x = 0. For the infinitesimal generator V =…”
    Get full text
    Journal Article
  6. 6

    New exact solution of the blast wave problem in gas dynamics by Murata, Souichi

    Published in Chaos, solitons and fractals (01-04-2006)
    “…Various authors have investigated the problem of a propagation and structure of blast wave in gas dynamics during the stage when the symmetrical shock wave is…”
    Get full text
    Journal Article
  7. 7

    Non-classical symmetry and Riemann invariants by Murata, Souichi

    “…In this paper it is shown that Riemann invariants are invariant under non-classical symmetries of a hyperbolic system. As a specific example, we study the…”
    Get full text
    Journal Article
  8. 8

    New class of symmetries for self-gravitating hydrodynamics equations by Murata, Souichi, Nozaki, Kazuhiro

    Published in Chaos, solitons and fractals (01-05-2007)
    “…A method of calculating a new class of symmetries is presented for partial differential equations. The method gives a new dynamical solution for an isothermal…”
    Get full text
    Journal Article
  9. 9

    New class of symmetries and exact solution to the unsteady equations of adiabatic gas dynamics by Murata, Souichi

    Published in Chaos, solitons and fractals (01-04-2005)
    “…In this paper, we present a new method to obtain a new class of symmetries and invariant solution associated with the symmetries. The key point of our method…”
    Get full text
    Journal Article
  10. 10

    Renormalization group symmetry and initial value problem for shallow water equations by Murata, Souichi

    Published in Chaos, solitons and fractals (01-03-2004)
    “…A new scenario in the renormalization group symmetry method is introduced to solve an initial value problem for a system of partial differential equations. As…”
    Get full text
    Journal Article
  11. 11

    Lie symmetry analysis for classification on pattern in excitable media by Murata, Souichi, Yamada, Hiroyasu

    Published in Chaos, solitons and fractals (01-06-2006)
    “…The dynamics of wave front in two dimensional excitable media is described by the derivative Burgers’ equation. In this paper, we will carry out Lie symmetry…”
    Get full text
    Journal Article
  12. 12

    Dynamics of gas sphere under self-gravity by Murata, Souichi, Nozaki, Kazuhiro

    Published in Physics letters. A (08-11-2004)
    “…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…”
    Get full text
    Journal Article
  13. 13

    Renormalization group symmetry method and gas dynamics by Murata, Souichi, Nozaki, Kazuhiro

    “…A new scenario in the renormalization group symmetry method is introduced to solve an initial value problem for a system of partial differential equations. As…”
    Get full text
    Journal Article
  14. 14

    Nonclassical symmetry and Riemann invariants by Murata, Souichi

    Published 26-01-2005
    “…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…”
    Get full text
    Journal Article
  15. 15

    New class of symmetries for self-gravitating hydrodynamics equations by Murata, Souichi, Nozaki, Kazuhiro

    Published 09-09-2004
    “…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…”
    Get full text
    Journal Article
  16. 16

    Dynamics of gas sphere under self-gravity by Murata, Souichi, Nozaki, Kazuhiro

    Published 25-12-2003
    “…Phys.Lett. A332 (2004) 35-38 A new dynamical solution for a gas sphere under self-gravity is presented to describe a development of a gas sphere from a…”
    Get full text
    Journal Article