Welcome to Journal of Beijing Institute of Technology
Advanced Search
Wang Shu, Li Wantong, Ye Qixiao. Finite Travelling Wave Solutions for a Semilinear System of Parabolic TypeJ. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 1993, 2(2): 117-126.
Citation: Wang Shu, Li Wantong, Ye Qixiao. Finite Travelling Wave Solutions for a Semilinear System of Parabolic TypeJ. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 1993, 2(2): 117-126.
shu

Finite Travelling Wave Solutions for a Semilinear System of Parabolic Type

    Graphical Abstract
    • Abstract
  • Aict f Finjte rmvedrig wave （M） so1uhons fOr the fOllowhg sechear syttem （I）ut-uxx+umvp=0 ut-vxx+uq=0 -∞0,p,q>0,m≥0 are studied. SolutiOns to （I） of the fOrm u （x, t）=lt（ct--x）, v（x, t）=v （cl--X） are called W soIutiOns if there exjstS a fwite ', such that u（）=v（j）=0 for t<,':=ct--x. It is proVed that if Pq+nl l. The asmpptohc weve profileS near the front as well as far from it are also determined. If I)qm = l. the exjstence of travebe wave soluhons to （I） is proved. The plnof in Esqniruis's paper（1990） for the one m=0 co be sdriplified by using the methOd develOped in thjs paper.
    • FullText(HTML)
  • loading
    • References (0)
    • Related Articles

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Baidu
    map