Abstract
A particular dispersive generalization of long water wave equation in (1+1) dimensions, which is important in the study of matrix models without scaling limit, known as two-Boson (TB) equation, as well as the associated hierarchy has been derived from the zero curvature condition on the gauge group SL (2, R) ⊗ U (1). The supersymmetric extension of the two-Boson (sTB) hierarchy has similarly been derived from the zero curvature condition associated with the gauge supergroup OSp (2|2). Topological algebras arise naturally as the second Hamiltonian structure of these classical integrable systems, indicating a close relationship of these models with 2-D topological field theories.
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