Abstract

The formal series symmetry approach of obtaining symmetries of a higher-dimensional partial differential equation is treated as an alternative way. For a breaking soliton equation which possesses a -dimensional-like recursion operator, six sets of generalized symmetries are explicitly given. It is known that the truncated formal series symmetries of the KP and Toda equations constitute the generalized algebra. From this paper we find that the generalized algebra can also be realized by means of the nontruncated formal series symmetries.

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