On a class of rational and mixed soliton-rational solutions of Toda lattice

Details On a class of rational and mixed soliton-rational solutions of Toda lattice On a class of rational and mixed soliton-rational solutions of Toda lattice

1996-05-28

arxiv.org/abs/solv-int/9605008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, Latex

Scientific paper

10.1143/PTP.96.29

A class of rational solutions of Toda lattice satisfying certain Backlund transformations and a class of mixed rational-soliton solutions (quasisolitons) in wronskian formare obtained using the method of Ablowitz and Satsuma. Also an extended class of rational solutions are found using an appropriate recursion relation. They are also solutions of Boussinesq equation and it is conjectured that there is a larger class of common solutions of both equations.

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