Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)‎D KdV-Burgers Equation

Abstract EN

We have undertaken the fact that the periodic solution of (2+1)D KdV-Burgers equation does not exist.

The Saddle-node heteroclinic orbit has been obtained.

Using the Lie group method, we get two-(1+1)-dimensional PDE, through symmetric reduction; and by the direct integral method, spread F-expansion method, and (G′/G)-expansion method, we obtain exact nontraveling wave solutions, for the (2+1)D KdV Burgers equation, and find out some new strange phenomenons of sympathetic vibration to evolution of nontraveling wave.