Deriving conservation laws for ABS lattice equations from Lax pairs
In this paper we derive infinitely many conservation laws for ABS lattice equations from their Lax pairs. These conservation laws can be algebraically expressed by means of some known polynomials. For each equation, the infinitely many conservation laws are not equivalent and are nontrivial. We also...
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Published in | Journal of physics. A, Mathematical and theoretical Vol. 46; no. 26; pp. 265202 - 19 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
IOP Publishing
05.07.2013
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Subjects | |
Online Access | Get full text |
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Summary: | In this paper we derive infinitely many conservation laws for ABS lattice equations from their Lax pairs. These conservation laws can be algebraically expressed by means of some known polynomials. For each equation, the infinitely many conservation laws are not equivalent and are nontrivial. We also show that the (H1), (H2), (H3), (Q1), (Q2), (Q3) and (A1) equations in the ABS list share a generic discrete Riccati equation. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 1751-8113 1751-8121 |
DOI: | 10.1088/1751-8113/46/26/265202 |