Solitons in a 3d integrable model

Details Solitons in a 3d integrable model Solitons in a 3d integrable model

1999-04-14

arxiv.org/abs/solv-int/9904013v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 6 pages

Scientific paper

10.1016/S0375-9601(99)00849-X

Equations of motion for a classical 3d discrete model, whose auxialiary system is a linear system, are investigated. The Lagrangian form of the equations of motion is derived. The Lagrangian variables are a triplet of "tau functions". The equations of motion for the Triplet of Tau functions are Three Trilinear equations. Simple solitons for the trilinear equations are given. Both the dispersion relation and the phase shift reflect the triplet structure of equations.

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