Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical SystemsMuthuswamy Lakshmanan, Muthiah Daniel Proceedings of the Workshop, Bharathidasan University, Tiruchirapalli, India, November 29 - December 2, 1989 |
Contents
| 2 | |
Master Symmetries of Certain Nonlinear Partial Differential Equations | 20 |
Lie Algebra BiHamiltonian Structure and Reduction Problem | 42 |
Generalised Lie Symmetries and Integrability | 65 |
Aspects of Symmetries of Dissipative Systems | 78 |
Painlevé Property in Hamiltonian and NonHamiltonian Systems | 92 |
A Singularity Analysis Approach to the Solutions of Duffings Equation | 112 |
Avoided Level Crossing Solitons and Random Matrix Theory | 122 |
Quantum Groups | 144 |
On the Quantum Inverse Problem for a New Type | 160 |
Dynamics of Solitons on 4He Films | 183 |
Studies on a Josephson Junction with Nonlinear Resistance | 196 |
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Common terms and phrases
Ablowitz algebraic structure analytic arbitrary chaos chaotic classical coefficients commutative completely integrable complex t-plane consider constants of motion corresponding defined density derivatives dimensional Lie algebra dynamical systems eigenvalue ensemble equations of motion film finite finite-dimensional fluctuations Gaussian Hamiltonian systems Heidelberg 1990 hierarchy Hopf algebra infinite dimensional Lie infinite number infinitesimal integrable systems Inverse Scattering Inverse Scattering Transform isovector Lakshmanan Lax pair Lett linear Lorenz model master symmetry Math matrix non-Hamiltonian systems nonintegrable obtained operator oscillator Painlevé property Painlevé test parameter partial differential equations pass the Painlevé Phys Poisson algebras Poisson bracket problem quantization quantum groups R-matrix Ramani Reports in Physics Research Reports rotation sets of symmetries singularity analysis Singularity Structures Springer-Verlag soliton solution solvable space Structures Springer-Verlag Berlin Symmetries and Singularity theorem theory tion transformation values variables vector Yang-Baxter equations Yi-Shen ах