SYMBOLIC COMPUTATION FOR THE NONLINEAR SCHRÖDINGER EQUATIONS RELEVANT TO THE RAYLEIGH–TAYLOR INSTABILITY IN THE SPACE AND LABORATORY PLASMA SYSTEMS

Yi-Tian Gao and Bo Tian
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Yi-Tian Gao: Department of Applied Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Bo Tian: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 02, 197-208

Abstract: The Rayleigh–Taylor (RT) instability occurs in many dynamic plasma systems, from the impoding laser targets to planets and collapsing massive stars. In two different wave-number regions, the RT instability could be respectively described by the unstable and stable nonlinear Schrödinger equations, the former also models the nonlinear modulation of the high-frequency mode in the electron beam plasma. In this paper, for those types of nonlinear Schrödinger equations, we perform computerized symbolic computation and find some similarity solutions. Dark and bright solitons are also seen.

Keywords: Symbolic Computation; Rayleigh–Taylor Instability; Plasma Systems; Unstable Nonlinear Schrödinger Equation; Stable Nonlinear Schrödinger Equation; Similarity Solutions; Dark Soliton; Bright Soliton (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S012918310100164X

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