中文摘要：

研究广义KDV-Burgers方程的一般初边值问题，用L^2-能量方法和修正边界的技巧证明了在流函数为凸且满足增长条件｜f＂（u）｜≤c（1＋｜u｜）以及初边值为大扰动条件下其解的整体存在性及解渐近收敛到一个强稀疏波．

英文摘要：

The asymptotic behavior of solutions for a general initial-boundary value problem of generalized KDV-Burgers equation is concerned, whose boundary data depends on the time variable and convex-flux functionfsatisfies the certain growth condition ｜f＂（u）｜≤c（1＋｜u｜）. Provedthat the time global solution exists and converges time-asymptotically to the strong rarefaction wave for the large initialboundary disturbance, by using an LE-energy method and a technique of modifying boundary data.