VARIABLE-COEFFICIENT FORCED BURGERS SYSTEM IN NONLINEAR FLUID MECHANICS AND ITS POSSIBLY OBSERVABLE EFFECTS

Yi-Tian Gao, Xiao-Ge Xu and Bo Tian
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Yi-Tian Gao: School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
Xiao-Ge Xu: Beijing Information Technology Institute, Beijing 100101, China;
Bo Tian: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 09, 1207-1222

Abstract: The forced Burgers equation works as a testing ground for a real turbulence, and as the qualitative model for a wide variety of problems including charge density waves, vortex lines in superconductors, disordered solids and epitaxial growth, etc. Its variable-coefficient generalizations call for better modeling of the physical situations. In this paper, we investigate a variable-coefficient generalization of the forced Burgers equation, and obtain several sets of exact soliton-like and other exact analytic solutions, via the extension of a generalized hyperbolic-function method with computerized symbolic computation. We also discuss the Wu method. We find some possibly observable effects, which might be discovered with the relevant experiments.

Keywords: Variable-coefficient forced Burgers system; observable effects for future fluid experiments; generalized hyperbolic-function method; soliton solutions; exact analytical solutions; computerized symbolic computation; Wu method (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103005340

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