Direct Linearization of extended lattice BSQ systems

Details Direct Linearization of extended lattice BSQ systems Direct Linearization of extended lattice BSQ systems

2011-12-02

arxiv.org/abs/1112.0525v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

24 pages, 1 figure

Scientific paper

The direct linearization structure is presented of a "mild" but significant generalization of the lattice BSQ system. Some of the equations in this system were recently discovered in [J. Hietarinta, J. Phys {\bf A}: Math. Theor. {\bf 44} (2011) 165204] through a search of a class of three-component systems obeying the property of multidimensional consistency. We show that all the novel equations arising in this class follow from one and the same underlying structure. Lax pairs for these systems are derived and explicit expressions for the $N$-soliton solutions are obtained from the given structure.

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