受迫二维广义KdV-Burgers方程的周期行波解(英文)

Periodic Traveling Wave Solution to a Forced Two-Dimensional Generalized KdV-Burgers Equation

英文关键词:KdV-Burgers equation  periodic traveling wave solution  boundness  exis-tence and uniqueness

中文摘要:

      本文研究了受迫二维广义ＫｄＶ－Ｂｕｒｇｅｒｓ方程的周期行波解问题，讨论了解的有界性并给出了解的估计式，进而讨论了周期解的存在性及唯一性.

英文摘要:

      We study the periodic traveling wave solutions to a forced two-dimensional generalized KdV-Burgers equation， Some theorems concerning the boundness, existence and uniqueness of solutions are proved.