Extension of Hereditary Symmetry Operators

Details Extension of Hereditary Symmetry Operators Extension of Hereditary Symmetry Operators

1998-03-03

arxiv.org/abs/solv-int/9803002v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, LaTex

Scientific paper

10.1088/0305-4470/31/35/009

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

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