Limits to Extensions of Burgers Equation

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The vector Burgers equation is extended to include pressure gradients and gravity. It is shown that within the framework of the Cole-Hopf transformation there are no physical solutions to this problem. This result is important because it clearly demonstrates that any extension of Burgers equation to more interesting physical situations is strongly limited.
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Exactly Solvable and Integrable Systems, Astrophysics, Chaotic Dynamics, Cellular Automata and Lattice Gases

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http://salesiana.dossiersoluciones.com/handle/123456789/153794

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9411005
 http://arxiv.org/abs/solv-int/9411005

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arXiv