New Exact Solution to （3＋1）-Dimensional Burgers Equation

摘要

In this Letter, using Backlund transformation and the new variable separation approach, we find a new general solution to the (3+1)-dimensional Burgers equation. The form of the universal formula obtained from many (2+1)-dimensional systems is extended. Abundant localized coherent structures can be found by seclecting corresponding functions appropriately.