In this section, we shall discuss the nonrelativistic—relativistic models in one spatial dimension. Complete integrability has been established for both the Chaplygin gas  and the Born—Infeld theory . 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).]
KeywordsSound Speed Nonrelativistic Limit Complete Integrability Grassmann Variable Bosonic Charge
Unable to display preview. Download preview PDF.