Publication: NONLINEAR SCHRÖDINGER EQUATIONS ON SUPER SYMMETRIC SPACES RELATED TO ORTHOGONAL-SYMPLECTIC LIE SUPERALGEBRAS
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World Scientific Pub Co Pte Lt
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Abstract
We obtain new integrable coupled nonlinear partial differential equations by assuming the soliton connection having values in orthogonal-symplectic Lie superalgebras [B(m, n), C(n), D(m, n)]. These equations are coupled Nonlinear Schrödinger equations on various super symmetric spaces.
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Subject
Superalgebras, NLS equations (nonlinear Schrödinger equations), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Infinite-dimensional Lie (super)algebras