Results 21 to 30 of about 4,761,670 (353)
A new construction of the Drinfeld–Sokolov hierarchies
Partial Differential Equations in Applied Mathematics, 2022 The Drinfeld–Sokolov hierarchies are integrable hierarchies associated with every affine Lie algebra. We present a new construction of such hierarchies, which only requires the computations of a formal Laurent series.
Paolo Casati
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AKNS Type Reduced Integrable Hierarchies with Hamiltonian Formulations
Romanian Journal of Physics, 2023 "The aim of this paper is to generate a kind of integrable hierarchies of four-component evolution equations with Hamiltonian structures, from a kind of reduced Ablowitz-Kaup-Newell-Segur (AKNS) matrix spectral problems. The zero curvature formulation is
Wen-Xiu Ma
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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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Journal of High Energy Physics, 2023 Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
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The Orthogonal and Symplectic Schur Functions, Vertex Operators and Integrable Hierarchies
Journal of Nonlinear Mathematical Physics, 2021 In this paper, we first construct an integrable system whose solutions include the orthogonal Schur functions and the symplectic Schur functions. We find that the orthogonal Schur functions and the symplectic Schur functions can be obtained by one kind ...
Lin-Jie Shi, Na Wang, Minru Chen
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Manifestly supersymmetric Lax integrable hierarchies [PDF]
Physics Letters B, 1997 A systematic method of constructing manifestly supersymmetric $1+1$-dimensional KP Lax hierarchies is presented. Closed expressions for the Lax operators in terms of superfield eigenfunctions are obtained. All hierarchy equations being eigenfunction equations are shown to be automatically invariant under the (extended) supersymmetry. The supersymmetric
Aratyn, H., Rasinariu, C.
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Integrable Hamiltonian Hierarchies [PDF]
, 2008 Preface In the past decades now a famous class of evolution equations has been discovered and intensively studied, a class including the nowadays celebrated Korteweg-de Vries equation, sine-Gordon equation, nonlinear Schr ̈odinger equation, etc. The equations from this class are known also as the soliton equations or equations solvable by the so ...
GERDJIKOV, VLADIMIR +2 more
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Integrable hierarchies associated to infinite families of Frobenius manifolds [PDF]
Journal of Physics A: Mathematical and Theoretical, 2020 We propose a new construction of an integrable hierarchy associated to any infinite series of Frobenius manifolds satisfying a certain stabilization condition.
Alexey Basalaev +2 more
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Integrable coupled massive Thirring model with field values in a Grassmann algebra
Journal of High Energy Physics, 2023 A coupled massive Thirring model of two interacting Dirac spinors in 1 + 1 dimensions with fields taking values in a Grassmann algebra is introduced, which is closely related to a SU(1) version of the Grassmannian Thirring model also introduced in this ...
B. Basu-Mallick +3 more
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Conformal Maps and Integrable Hierarchies [PDF]
Communications in Mathematical Physics, 2000 Let \(D\) be simply connected domain in the complex \(z\)-plane bounded by a simple analytic curve \(\Gamma\). The authors show that conformal maps \(D\) onto unit disk \(G_1=\{x \mid|z|
Wiegmann, P. B., Zabrodin, A.
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