(2 + 1)-Dimensional Burgers equations BE(m + n + 1): Using the recursion operator

摘要

In this work, we develop a variety of (2 + 1)-dimensional Burgers equations BE(N) of distinct orders. We use the recursion operator of the Burgers equation to derive these equations. The obtained equations possess multiple kink solutions the same as the multiple kink solutions of the Burgers hierarchy, but differ only in the dispersion relations. We finally establish a generalization for the dispersion relations.