arXiv
Open Access
2010
Simplest potential conservation laws of linear evolution equations
Vyacheslav M. Boyko
Roman O. Popovych
Abstrak
Every simplest potential conservation law of any (1+1)-dimensional linear evolution equation of even order proves induced by a local conservation law of the same equation. This claim is true also for linear simplest potential conservation laws of (1+1)-dimensional linear evolution equations of odd order, which are related to linear potential systems. We also derive an effective criterion for checking whether a quadratic conservation law of a simplest linear potential system is a purely potential conservation law of a (1+1)-dimensional linear evolution equation of odd order.
Penulis (2)
V
Vyacheslav M. Boyko
R
Roman O. Popovych
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2010
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- en
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- arXiv
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- Open Access ✓