受迫广义KdV-Burgers方程行波解的存在唯一性(英文)

EXISTENCE AND UNIQUENESS OF PERIODIC TRAVELING WAVE SOLUTION TO A FORCED GENERALIZED KdV-BURGERS EQUATIOM

本文研究具有受迫性的广义二维KdV-Burgers方程的周期行波解,为了获得周期行波解的存在唯一性定理,使唤用特定系数法和Schauder不动点定理获得了受迫广义KdV-Burgers方程周期行波解存在唯一性的条件.并获得了周期行波解的一些先验估计式.

This paper considers the periodic traveling wave solution for the two-dimensional, generalized Korteweg-de Vries Burgers equation with a forcing function, the existence and uniqueness of periodic traveling wave solution are proved by Schauder＇s fixed point theorem, and the estimating expressions for this periodic traveling wave solution are given.