Direct perturbation method for perturbed complex Burgers equation |
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Authors: | Cheng Xue-Ping Lin Ji Yao Jian-Ming |
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Affiliation: | Physics, Mathematics and Information College of Zhejiang Ocean University, Zhoushan 316004, China; Physics, Mathematics and Information Engineering College of Zhejiang Normal University, Jinhua 321004, China |
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Abstract: | So far, Lou’s direct perturbation method has been applied successfully to solve the nonlinear Schr¨odinger equa- tion(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. |
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Keywords: | direct perturbation method perturbed complex Burgers equation asymptotical solutions |
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