Search Results - "Murata, Souichi"
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Causes of anxiety among teachers giving face-to-face lessons after the reopening of schools during the COVID-19 pandemic: a cross-sectional study
Published in BMC public health (02-06-2021)“…Abstract Background Coronavirus infections are spreading rapidly worldwide, and primary and middle schools are closed in many countries. After the state of…”
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Exact expanding solution of gas sphere under gravity
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…”
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3
Nonclassical symmetry of nonlinear diffusion equation and factorization method
Published in Communications in nonlinear science & numerical simulation (01-11-2010)“…We present the nonclassical symmetry of a nonlinear diffusion equation whose a nonlinear term is an arbitrary function. Generally, there is no guarantee that…”
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Symmetry of magnetized self-gravitating hydrodynamic equation
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…”
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Nonclassical symmetry analysis for hyperbolic partial differential equation
Published in Communications in nonlinear science & numerical simulation (01-10-2008)“…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 =…”
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6
New exact solution of the blast wave problem in gas dynamics
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…”
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Non-classical symmetry and Riemann invariants
Published in International journal of non-linear mechanics (01-03-2006)“…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…”
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8
New class of symmetries for self-gravitating hydrodynamics equations
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…”
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New class of symmetries and exact solution to the unsteady equations of adiabatic gas dynamics
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…”
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Renormalization group symmetry and initial value problem for shallow water equations
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…”
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Lie symmetry analysis for classification on pattern in excitable media
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…”
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Dynamics of gas sphere under self-gravity
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…”
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13
Renormalization group symmetry method and gas dynamics
Published in International journal of non-linear mechanics (01-08-2004)“…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…”
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14
Nonclassical symmetry and Riemann invariants
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…”
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15
New class of symmetries for self-gravitating hydrodynamics equations
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…”
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16
Dynamics of gas sphere under self-gravity
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…”
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