Burgers equation is reduced into a first-order ordinary differential equation by using travelling wave transformation and it has typical bifurcation characteristics.We can obtain many exact solutions of the Burgers equation,discuss its transcritical bifurcation and control dynamical behaviours by extending the stable region.The transcritical bifurcation exists in the (2 + 1)-dimensional Burgers equation.
机构:
Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Ekaterinburg 620219Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Ekaterinburg 620219