The Korteweg-de Vries-Burgers equation and its approximate solution

نویسندگان

  • Xiaohui Wang
  • Zhaosheng Feng
  • Lokenath Debnath
  • David Yang Gao
چکیده

This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, redistribution , reselling , loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae and drug doses should be independently verified with primary sources. The publisher shall not be liable for any loss, actions, claims, proceedings, demand or costs or damages whatsoever or howsoever caused arising directly or indirectly in connection with or arising out of the use of this material. In this paper, we study the Korteweg–de Vries–Burgers equation with boundary conditions. After making a series of transformations, we convert the Korteweg–de Vries–Burgers equation into an Emden–Fowler equation. An approximate solution in series form is obtained by means of the Adomian decomposition method. The solution is illustrated to agree well with phase plane analysis.

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عنوان ژورنال:
  • Int. J. Comput. Math.

دوره 85  شماره 

صفحات  -

تاریخ انتشار 2008