Abstract
In this section, we shall discuss the nonrelativistic—relativistic models in one spatial dimension. Complete integrability has been established for both the Chaplygin gas [34] and the Born—Infeld theory [35]. We can now understand this to be a consequence of the complete integrability of the Nambu—Goto 1-brane (string) moving on a 2-space (plane), which is the antecedent of both models. [Therefore, it suffices to discuss only the Chaplygin gas since solutions of the Born—Infeld model can then be obtained by the mapping (4.13), (4.14).]
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© 2002 Springer Science+Business Media New York
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Jackiw, R. (2002). One-Dimensional Case. In: Lectures on Fluid Dynamics. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3665-6_6
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DOI: https://doi.org/10.1007/978-1-4757-3665-6_6
Publisher Name: Springer, New York, NY
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