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Exact solution in terms of elliptic functions for the Burgers–Korteweg–de Vries equation

✍ Scribed by Zhaosheng Feng


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
127 KB
Volume
38
Category
Article
ISSN
0165-2125

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✦ Synopsis


The Burgers-Korteweg-de Vries equation arises from many different physical contexts as a nonlinear model equation incorporating the effects of dispersion, dissipation and nonlinearity. In the present paper, we present a more general traveling wave solution to the Burgers-Korteweg-de Vries equation by applying an exact solution of an ordinary differential equation.


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Communicated by D. G. Crighton Abstract--We describe a new class of solutions of the KdVB equation which demonstrates chaotic behaviour. (~) 2000 Elsevier Science Ltd. All rights reserved.