【摘要】 在远离平衡的开放系统中,存在着一大类波动的现象。这种在耗散背景下稳定的波动往往是时空有序的重要形式。对这类现象的描述依赖于对相应反应扩散方程的深入研究。在过去十几年中,这方面的研究工作取得了相当可观的进展,并已成为应用数学家,物理学家、化学家、生物学家共同感兴趣的领域。本文评述了近年来对反应扩散系统中几种常见波的研究。更多还原

【Abstract】 In open systems far from equilibrium, there exists a big class of wave phenomena. Such stable waves with the background of dissipation are often important forms of the temparal-spatial order. The description of these phenomena depends on the deepgoing research of the corresponding nonlinear-diffusion equations. In the past ten years or more, the research work in this field has made remarkable progress and has become an subject attracted many mathematicians, physicists, chemists and biologists. In this review article, the recent developments of the wave phenomena in nonlinear-diffusion systems are summarized.更多还原