Sachdev, PL and Rao, Srinivasa Ch and Joseph, KT (1999) Analytic and Numerical Study of N-Waves Governed by the Nonplanar Burgers Equation. In: Studies in Applied Mathematics, 103 (2). pp. 89-120.
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In this article, evolution of N-waves under the nonplanar Burgers equation, which takes into account geometrical expansion or contraction, is treated analytically. An exact asymptotic solution, generalizing that for the planar Burgers equation, is given for the case of expansion. An approximate treatement, using a balancing argument, gives asymptotic analytic results for both expansion and contraction. The analysis is fortified by an accurate numerical solution of the problem. This study is brought in close conjunction with the earlier work of Crighton and Scott  and Sachdev, Joseph and Nair .
|Item Type:||Journal Article|
|Additional Information:||Copyright for this article belongs to John Wiley and Sons.|
|Keywords:||N-waves;Nonplanar Burgers Equation|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||14 Feb 2007|
|Last Modified:||20 Jan 2012 09:12|
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