KdV hierarchy with time-dependent coefficients: Lax integrability, bilinear Bcklund transformation and soliton solutionsZhangShengZhuRaningentaconnectOptik Stuttgart
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$sl(n,r)$ kdv hierarchy and its nonpolynomial realization through kac-moody currents 文档格式: .pdf 文档大小: 109.09K 文档页数: 16页 顶/踩数: 0/0 收藏人数: 0 评论次数: 0 文档热度: 文档分类: 外语学习--英语学习 文档标签: sl40nr41kdvhierarchyanditsnonpolynomialrealizationthroughkac-moody ...
A new method of constructing elliptic finite-gap solutions of the stationary Korteweg-de Vries (KdV) hierarchy, based on a theorem due to Picard, is illustrated in the concrete case of the Lamé-Ince potentials s(s+1)P(z), s ∈ N (P(.) the elliptic Weierstrass function). Analogous res...
This paper considers the relation between the periodic KdV hierarchy and the limit of the periodic Toda hierarchies. By choosing the initial data of the Toda flows in a canonical way, the behavior of a certain Toda flow can mimic KdV flows. Conjecturally, a method of deforming the KdV hierar...
The evolution of the eigenfunctions in the Lax representation of the KdV hierarchy with self-consistent sources possesses singularity. By proposing a method to treat the singularity to determine the evolution of scattering data, the KdV hierarchy with self-consistent sources is integrated by the invers...
ERRATA: A FRACTIONAL KdV HIERARCHYERRATA: A FRACTIONAL KdV HIERARCHYdoi:10.1142/S0217732391002761I. BAKASD. A. DEPIREUXModern Physics Letters AA Fractional KdV Hierarchy. Mod. Phys. Lett A6 - Bakas, Depireux - 1991I. Bakas, D. A. Depireux, A Fractional KdV Hierarchy. Mod. Phys. Lett ...
《QuantizationoftheN=2SupersymmetricKdVHierarchy》青少年科普教育丛书.pdf,Quantization of the N = 2 Supersymmetric KdV Hierarchy Anton M. Zeitlin St. Petersburg Department of Steklov Mathematical Institute, Fontanka, 27, St. Petersburg, 191023, Russia zam
摘要: We study an explicit correspondence between the integrable modified KdV hierarchy and its dual integrable modified Camassa–Holm hierarchy. A Liouville transformation between the isospectral problems...关键词: Liouville transformation Modified Camassa–Holm hierarchy Modified KdV hierarchy Tri-Hamiltonian...
摘要: We review the construction on an associative algebra G of the linear and quadratic Poisson brackets associated with a classical r -matrix. We then give, in the light of this construction, the formulation in extended superspace of an N=2 supersymmetric KP hierarchy with two quadratic hamilt...