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Extra dimensions and non‐linear equations
Author(s) -
Fairlie D.B.
Publication year - 2003
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200310086
Subject(s) - space (punctuation) , dimension (graph theory) , integrable system , mathematical analysis , mathematics , linear space , linear equation , base (topology) , independent equation , diffusion , type (biology) , nonlinear system , physics , pure mathematics , geometry , partial differential equation , quantum mechanics , computer science , ecology , biology , operating system
It is shown how integrable non‐linear equations of hydrodynamic type, which arise as continuations of Dirac‐Born‐Infeld equations to the case where the target space is of lower dimension than the base space, are associated with linear diffusion equations in a space of double the number of space co‐ordinates.