Titlebook: Integrable Hierarchies and Modern Physical Theories; Henrik Aratyn,Alexander S. Sorin Book 2001 Springer Science+Business Media Dordrecht

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書目名稱Integrable Hierarchies and Modern Physical Theories影響因子(影響力)




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https://doi.org/10.1007/978-94-010-0720-7Lattice; Potential; Theoretical physics; mathematical physics; moduli space; partial differential equatio

NATTY

幻想

Esalate

neuron

Trigonometric Calogero-Moser System as a Symmetry Reduction of KP Hierarchy,Trigonometric non-isospectral flows are defined for KP hierarchy. It is demonstrated that symmetry constraints of KP hierarchy associated with these flows give rise to trigonometric Calogero-Moser system.

強有力

Symmetries and Recursions For , = 2 Supersymmetric KDV-Equation,The . = 2 supersymmetric extension of KdV-equation is discussed. For the most intriguing case . = 2, . = 1, hierarchies of conservation laws, even and odd symmetries are constructed.Moreover the recursion on the odd hierarchies is given.

Ambiguous

Functional and Differential Equations in The Problems of Nonlinear Mathematical Physics,The 2. dimensional manifold with two mutually commutative operators of differentiation is introduced. Nontrivial multi-dimensional integrable systems connected with arbitrary graded (semisimple) algebras are constructed. Their general solutions are presented in explicit form.

Limpid

令人發(fā)膩

Integrable Nets and the KP Hierarchy,study of conjugate, orthogonal and Egorov nets. We also discuss the appearance of integrable lattices in this context. Finally, we also treat the τ-formulation, vertex operators and Miwa transformations for these geometric nets.