Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
Source
Material
Years
Person/Organisation
Keywords
Language
  • 1
    Electronic Resource
    Electronic Resource
    Gauge transformations of constrained KP flows: New integrable hierarchies (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 2972-2984 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Integrable systems in 1+1 dimensions arise from the KP hierarchy as symmetry reductions involving square eigenfunctions. Exploiting the residual gauge freedom in these constraints new integrable systems are derived. They include generalizations of the hierarchy of the Kundu–Eckhaus equation and higher-order extensions of the Yajima–Oikawa and Melnikov hierarchies. Constrained modified KP flows yield further integrable equations such as the hierarchies of the derivative NLS equation, the Gerdjikov–Ivanov equation, and the Chen–Lee–Liu equation. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531336
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Wronskian solutions of the constrained Kadomtsev–Petviashvili hierarchy (1996)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 6213-6219 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The integrable Kadomtsev–Petviashvili (KP) hierarchy is compatible with generalized k-constraints of the type (Lk)−=∑i qi∂−1xri. A large class of solutions—among them solitons—can be represented by Wronskian determinants of functions satisfying a set of linear equations. In this paper we shall obtain additional conditions for these functions imposed by the constraints. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531788
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 1908-1918 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Basic invariants, such as conserved quantities, symmetries, mastersymmetries, and recursion operators are explicitly constructed for the following nonlinear lattice systems: The modified Korteweg–de Vries lattice, the Ablowitz–Ladik lattice, the Brusci–Ragnisco lattice, the Ragnisco–Tu lattice and some cases of the class of integrable systems introduced by Bogoyavlensky. The algorithmic basis for obtaining these quantities is described and the interrelation between the underlying mastersymmetry approach and the Lax pair analysis is discussed. By explicit presentation of the higher-order members of the corresponding hierarchies new completely integrable lattice flows are found. For all systems, multi-Hamiltonian formulations are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529205
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Dirac constraints in field theory: Lifts of Hamiltonian systems to the cotangent bundle (1988)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 29 (1988), S. 210-219 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: To every Hamiltonian system is associated a degenerate Lagrangian formulation. Following Dirac's theory of constraints one finds a family of lifts of the system to the cotangent bundle of the underlying manifold. The lifted system admits a reduction to the original equation such that the original Hamiltonian formulation is the pullback of the canonical symplectic form. Invariants of the original equation can be lifted to invariants of the extended system. This procedure is applied to integrable systems such as the Korteweg–de Vries equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528175
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    R structures, Yang–Baxter equations, and related involution theorems (1989)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 1140-1149 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: There are several ways to construct functions in involution on a Lie bi-algebra, a Lie algebra equipped with a second Lie bracket. For the solvable systems associated to the Casimir functions a second Hamiltonian formulation can be constructed and a class of bi-Hamiltonian Korteweg–de Vries-like evolution equations with explicit space dependence is derived. Translating the Casimir functions with the flow of a special vector field yields another set of functions in involution. Lenard relations are found for the corresponding Hamiltonian systems. Finally, solutions of the classical Yang–Baxter equation lead to an analog of compatible Hamiltonian pairs. The invariants of the resulting hereditary operators are in involution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528333
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    Mastersymmetries, angle variables, and recursion operator of the relativistic Toda lattice (1989)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 2664-2670 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Conserved quantities, bi-Hamiltonian formulation, and recursive structure of the relativistic Toda lattice (RT) are obtained in an algorithmic way without making use of the Lax representation. Furthermore, for the multisoliton solutions the gradients of the angle variables are described in terms of mastersymmetries. A new hierarchy of completely integrable systems is discovered, which turns out to correspond to the "negative'' of the hierarchy of RT. Thus it is shown that the full algebra of time-dependent symmetry group generators for each member of the RT hierarchy is isomorphic to the algebra of first order differential operators with Laurent polynomials as coefficients. The surprising phenomenon is revealed that the members of the RT hierarchy are connected to their negative counterparts by explicit Bäcklund transformation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528497
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems (1991)
    Springer
    Communications in mathematical physics 139 (1991), S. 441-460 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The bi-Hamiltonian structure of integrable supersymmetric extensions of the Korteweg-de Vries (KdV) equation related to theN=1 and theN=2 superconformal algebras is found. It turns out that some of these extensions admit inverse Hamiltonian formulations in terms of presymplectic operators rather than in terms of Poisson tensors. For one extension related to theN=2 case additional symmtries are found with bosonic parts that cannot be reduced to symmetries of the classical KdV. They can be explained by a factorization of the corresponding Lax operator. All the bi-Hamiltonian formulations are derived in a systematic way from the Lax operators.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02101874
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    Recursion operators and Hamiltonian structures in Sato's theory (1990)
    Springer
    Letters in mathematical physics 20 (1990), S. 195-210 
    Details
    ISSN: 1573-0530
    Keywords: 35A25 ; 58F07 ; 58G15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Following Sato's famous construction of the KP hierarchy as a hierarchy of commuting Lax equations on the algebra of microdifferential operators, it is shown that n-reduction leads to a recursive scheme for these equations. Explicit expressions for the recursion operators and the Hamiltonian operators are obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00398363
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 9
    Book
    Book
    MuPAD tutorial / (2004)
    Berlin [u.a.] :Springer,
    Details
    Title: MuPAD tutorial /
    Author: Creutzig, Christopher
    Contributer: Oevel, Walter
    Edition: 2. ed
    Publisher: Berlin [u.a.] :Springer,
    Year of publication: 2004
    Pages: XIII, 412 S. : , Ill., graph. Darst. ; , 24 cm
    Series Statement: Sciface
    ISBN: 3-540-22184-0
    Type of Medium: Book
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    ZIB Catalog
    Zuse Institute Berlin get availability status
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...