New exact traveling and non-traveling wave solutions for (2 + 1)-dimensional Burgers equation

摘要

In this paper, some novel solitary wave solutions, including solitary-like wave solution, x-periodic soliton solution, y-periodic soliton solution, doubly periodic solution, rational solution, and new non-traveling wave solution, are obtained for (2 + 1)-dimensional Burgers equation by means of the generalized direct ansätz method and different test functions.