Includes bibliographical references.

Constrained KP hierarchy as a ratio of differential operators / H. Aratyn -- Infinite dimensional symmetries in massive integrable models / H. Awata -- On the Whitman equations and (X,) duality / R. Carroll -- Poisson brackets for densities of functionals / L.A. Dickey -- Hamiltonian dynamics, classical R-matricies and isomonodromic deformations / J. Harnad -- Integrable sysems with singular rational spectral varieties / A. Kasman -- Lectures on the asymptotic expansion of a Hermitian matrix integral / M. Mulase -- Solitons and generalized Tau-functions for affine integrable hierarchies / L.A. Ferreira and J. Sánchez Guillén -- Constrained and rational reductions of the KP hierarchy / G. Helminck and J. van de Leur -- Matrix membranes and integrability / C. Zachos, D. Fairlie, and T. Curtright -- Vertex operators and solitons of constrained KP hierarchies / H. Aratyn [and others] -- Zero curvature formalism in superspace / H. Aratyn [and others] -- N=2 KdV hierarchies and classical r-matrix / L. Gallot -- Reduction of self-dual Yang-Mills systems and super nonlinear Schródinger equations / M. Legaré -- During transformations for SUSY integrable systems / Q.P. Liu and M. Mañas -- Susy hierarchies and affine lie algebras -- A semiclassical approach to level crossing in supersymmetric quantum mechanics / J. Feinberg and G. Dunne -- Shape invariance and its connection to potential algebra / A. Gangopadhyaya, J.V. Marlow and U.P. Sukhatme -- Supersymmetry in quantum mechanical models : a quantum Hamilton-Jacobi approach / R.S. Bhalla, A.K. Kapoor and P.K. Panigrahi -- Quantum-mechanical supersymmetry in traps /V.A. Kostelecký and N. Russel -- Cyclic shape invariant potentials / U. Sukhatme [and others].

This book combines supersymmetry modelling in quantum mechanics and integrable models in a unique way. It addresses researchers as well as graduate students. Along with articles that present new technical results, the reader will also find pedagogically written reviews. Recent applications of supersymmetric integrable models are also given.

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