Conservation Laws of Evolution Equations: Generic Non-existence

✍ Scribed by Kevin Foltinek

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 151 KB
• Volume: 235
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1999.6404

✦ Synopsis

Evolution-type partial differential equations in one space variable are formulated in terms of exterior differential systems. The space of conservation laws is discussed in this geometric context, and a familiar classical condition for conservation laws is derived. It is shown that the generic even-order evolution equation with one space variable possesses no conservation laws of order greater than the order of the equation.