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Titlebook: Symmetries and Singularity Structures; Integrability and Ch Muthuswamy Lakshmanan,Muthiah Daniel Conference proceedings 1990 Springer-Verla

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Quantum GroupsThis talk motivates for the study of quantum groups. Before giving the definition and examples of quantum groups, basic ideas of Hopf algebras and Poisson algebras are exposed. Quantization of Lie bialgebras is defined. At the end some open problems are mentioned.
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On the Quantum Inverse Problem for a New Type of Nonlinear Schrödinger Equation for Alfven Waves in The nonlinear Alfven waves are governed by the vector derivative nonlinear Schrödinger (VDNLS) equation, which for parallel or quasi-parallel propagation reduces to the derivative nonlinear Schrödinger (DNLS) equation for the circulary polarized waves [1].
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978-3-540-53092-3Springer-Verlag Berlin Heidelberg 1990
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0939-7426 Overview: 978-3-540-53092-3978-3-642-76046-4Series ISSN 0939-7426
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Aspects of Symmetries of Dissipative Systemsion and scale symmetries in order parameter space (OPS). A local criterion for spontaneous symmetry breaking (SSB) is introduced in terms of a certain exponent vanishing or becoming positive at the given point. It is shown that while translation and rotation symmetries may be spontaneously broken at
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Singularity Structure and Chaotic Dynamics of the Parametrically Driven Duffing Oscillatoructure exhibited by the solution of the system in the complex time domain. The simultaneous contraction and rotation of this singularity pattern in the z = t. lnt plane, as the control parameter is varied, results in complicated clustering of singularities in the t-plane is pointed out. The correspo
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