Results 41 to 50 of about 371,670 (284)
A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]
, 2005 We consider a special class of solutions of the BKP hierarchy which we call $\tau$-functions of hypergeometric type. These are series in Schur $Q$-functions over partitions, with coefficients parameterised by a function of one variable $\xi$, where the ...
Orlov, A.Y., Nimmo, J.J.C.
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Self-Consistent Sources and Conservation Laws for a Super Broer-Kaup-Kupershmidt Equation Hierarchy
Journal of Applied Mathematics, 2013 Based on the matrix Lie superalgebras and supertrace identity, the integrable super Broer-Kaup-Kupershmidt hierarchy with self-consistent sources is established.
Hanyu Wei, Tiecheng Xia
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Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy [PDF]
, 2012 The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed.
Musso, Emilio, Emilio Musso, Musso, E.
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Witten’s D 4 integrable hierarchies conjecture [PDF]
Chinese Annals of Mathematics, Series B, 2016 We prove that the total descendant potential functions of the theory of Fan-Jarvis-Ruan-Witten for D_4 with symmetry group and D_4^T with symmetry group G_{max}, respectively, are both tau-functions of the D_4 Kac-Wakimoto/Drinfeld-Sokolov hierarchy.
Fan, Huijun +4 more
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Integrable operators and squares of Hankel operators. [PDF]
, 2008 Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon
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Advances in Mathematical Physics, 2013 Nonlinear integrable couplings of super Broer-Kaup-Kupershmidt hierarchy based upon an enlarged matrix Lie super algebra were constructed. Then its super Hamiltonian structures were established by using super trace identity, and the conserved functionals
Sixing Tao, Tiecheng Xia
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Backlund transformation for integrable hierarchies: example - mKdV hierarchy
Journal of Physics: Conference Series, 2015 Proceedings of the 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent ...
Gomes, J. F. +3 more
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Solving bi-directional soliton equations in the KP hierarchy by gauge transformation [PDF]
, 2006 We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy.
Cheng, Yi +4 more
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Associativity equations in dispersionless integrable hierarchies
Physics Letters B, 2001 We discuss the origin of the associativity (WDVV) equations in the context of quasiclassical or Whitham hierarchies. The associativity equations are shown to be encoded in the dispersionless limit of the Hirota equations for KP and Toda hierarchies. We show, therefore, that any tau-function of dispersionless KP or Toda hierarchy provides a solution to ...
Boyarsky, A.M. +4 more
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Integrating partonomic hierarchies in anatomy ontologies [PDF]
BMC Bioinformatics, 2004 Abstract Background Anatomy ontologies play an increasingly important role in developing integrated bioinformatics applications. One of the primary relationships between anatomical tissues represented in such ontologies is part-of.
Albert Burger +3 more
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