Extra dimensions and non-linear equations

✍ Scribed by D.B. Fairlie

• Book ID: 105357317
• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 79 KB
• Volume: 51
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200310086

✦ Synopsis

Abstract

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.