论文信息 - On the combinatorics of the Hirota D-operators

On the combinatorics of the Hirota D-operators

A generic formula is presented which relates the Hirota D-operators to simple combinatorics. Particular classes of partition polynomials (Bell-polynomials and generalizations) are found to play an important role in the characterization of bilinearizable equations. As a consequence it is shown that bilinear Bäcklund transformations for single-field bilinearizable equations linearize systematically into corresponding Lax-pairs.

J. Nimmo | C. Gilson | R. Willox | F. Lambert

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