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Descripción
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| We derive the general structure of the space of formal recursion operators of integrable nonevolutionary equations qtt = f(q,qx,qt,qxx, qxt, qxxx, qxxxx). This allows us to classify integrable Lagrangian systems with a higher order Lagrangian of the form L = L2(qxx, qx, q) q2t + L1(qxx, qx, q) qt+L0(qxx, qx, q). The key technique relies on exploiting a homogeneity of the determining equations of formal recursion operators. This technique allows us to extend the main results to more general equations qtt = f (q, qx, . . . , qn; qt, qxt, . . . , qmt). Keywords: higher Lie symmetries, recursion operators, integrable partial differential equations, integrable Lagrangian systems | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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IOP Publishing Journal of Physics A: Mathematical and Theoretical |
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ISSN
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1751-8113 |
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Factor de impacto JCR
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1,963 |
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Información de impacto
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JCR info 2017: Impact Factor: 1.963 Ranking by category: Physics, Mathematical: 13 of 55 (Q1) Physics, Multidisciplinary: 29 of 78 (Q2) |
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Volumen
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51 |
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DOI
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10.1088 |
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Número de revista
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38 |
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Desde la página
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1 |
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Hasta la página
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23 |
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Mes
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SEPTIEMBRE |
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Ranking
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Ranking by category: Physics, Mathematical: 13 of 55 (Q1) Physics, Multidisciplinary: 29 of 78 (Q2) |