On the integrability of systems of second order evolution equations with two components |
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| Authors: | Jan A Sanders |
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| Institution: | Faculty of Sciences, Division of Mathematics & Computer Science, Vrije Universiteit, De Boelelaan 1081a, Amsterdam, 1081 Amsterdam HV, Netherlands |
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| Abstract: | This paper is devoted to classifying second order evolution equations with two components. Combining the symbolic method and number theory, we give the complete list of such homogeneous polynomial symmetry-integrable systems with non-zero diagonal linear terms. The technique is applicable for more general systems. |
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| Keywords: | Integrable system The symbolic method Lech-Mahler theorem |
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