A variety of (3+1)-dimensional Burgers equations derived by using the Burgers recursion operator

摘要

A new variety of (3 + 1)-dimensional Burgers equations is presented. The recursion operator of the Burgers equation is employed to establish these higher-dimensional integrable models. A generalized dispersion relation and a generalized form for the one kink solutions is developed. The new equations generate distinct solitons structures and distinct dispersion relations as well. Copyright (c) 2014 John Wiley & Sons, Ltd.