Local Nonintegrability of Long—Short Wave Interaction Equations

A. M. Verbovetsky
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A. M. Verbovetsky: All-Union Gas Industry Economics, Organization of Production, and Economic Information Research Institute (VNIIEGASPROM)

A chapter in Symmetries of Partial Differential Equations, 1989, pp 121-136 from Springer

Abstract: Abstract The algebra of higher symmetries and the space of conservation laws for Zakharov’s nonlinear equations of the interaction between long and short waves are completely described. The scheme of computations due to Vinogradov is used. As a result, the local nonintegrability of these equations is proved.

Keywords: Zakharov’s equations; symmetry; conservation law; (local) nonintegrability; commutator identity; Hamiltonain structure (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-1948-8_5

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DOI: 10.1007/978-94-009-1948-8_5

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