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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2008
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/0805.1312 |
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| _version_ | 1866929476673208320 |
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| author | Papachristou, C. J. Harrison, B. Kent |
| author_facet | Papachristou, C. J. Harrison, B. Kent |
| contents | A systematic construction of a Lax pair and an infinite set of conservation laws for the Ernst equation is described. The matrix form of this equation is rewritten as a differential ideal of gl(2,R)-valued differential forms, and its symmetry condition is expressed as an exterior equation which is linear in the symmetry characteristic and has the form of a conservation law. By means of a recursive process, an infinite collection of such laws is then obtained, and the conserved "charges" are used to derive a linear exterior equation whose components constitute a Lax pair. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0805_1312 |
| institution | arXiv |
| publishDate | 2008 |
| record_format | arxiv |
| spellingShingle | A Method for Constructing a Lax Pair for the Ernst Equation Papachristou, C. J. Harrison, B. Kent Mathematical Physics A systematic construction of a Lax pair and an infinite set of conservation laws for the Ernst equation is described. The matrix form of this equation is rewritten as a differential ideal of gl(2,R)-valued differential forms, and its symmetry condition is expressed as an exterior equation which is linear in the symmetry characteristic and has the form of a conservation law. By means of a recursive process, an infinite collection of such laws is then obtained, and the conserved "charges" are used to derive a linear exterior equation whose components constitute a Lax pair. |
| title | A Method for Constructing a Lax Pair for the Ernst Equation |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/0805.1312 |