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The absolute
invariance of conservation laws
Harold H. Johnson |
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Vol. 144 (1990), No. 1, 51–69
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Abstract |
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The only known absolute invariant for a general system of pde is its maximal character. The purpose of this paper is to prove that conservation laws are also absolute invariants, that is, they are preserved under partial prolongations in a natural way. We also show that the property, closely related to soliton behavior, of having an infinite number of conservation laws is an absolute invariant. |
Mathematical Subject Classification 2000
Primary: 58G35
Secondary: 35L65, 35Q51
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Milestones
Received: 25 July 1988
Published: 1 July 1990
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Authors |
| Harold H. Johnson | |
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