Direct perturbation method for perturbed complex Burgers equation
Cheng Xue-Ping(程雪苹)a)†, Lin Ji(林机)b), and Yao Jian-Ming(姚建明)a)
a Physics, Mathematics and Information College of Zhejiang Ocean University, Zhoushan 316004, China; b Physics, Mathematics and Information Engineering College of Zhejiang Normal University, Jinhua 321004, China
Abstract So far, Lou's direct perturbation method has been applied successfully to solve the nonlinear Schrödinger equation(NLSE) hierarchy, such as the NLSE, the coupled NLSE, the critical NLSE, and the derivative NLSE. But to our knowledge, this method for other types of perturbed nonlinear evolution equations has still been lacking. In this paper, Lou's direct perturbation method is applied to the study of perturbed complex Burgers equation. By this method, we calculate not only the zero-order adiabatic solution, but also the first order modification.
Received: 28 August 2008
Revised: 16 October 2008
Accepted manuscript online:
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