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Extension of hereditary symmetry operators

Wen-Xiu Ma

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Two models of candidates for hereditary symmetry operators are proposed and thus many nonlinear systems of evolution equations possessing infinitely many commuting symmetries may be generated. Some concrete structures of hereditary symmetry operators are carefully analysed on the basis of the resulting general conditions and several corresponding nonlinear systems are explicitly given as illustrative examples.


PACS

02.30.Ik Integrable systems

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

MSC

34G20 Nonlinear equations (See also 47Hxx, 47Jxx)

47J35 Nonlinear evolution equations (See also 34G20, 35K90, 35L90, 35Qxx, 35R20, 37Kxx, 37Lxx, 58D25)

37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 35 (4 September 1998)

Received 22 January 1998



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