Results 31 to 40 of about 20,971 (292)
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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Nonlinear Super Integrable Couplings of Super Classical-Boussinesq Hierarchy
Journal of Applied Mathematics, 2014 Nonlinear integrable couplings of super classical-Boussinesq hierarchy based upon an enlarged matrix Lie super algebra were constructed. Then, its super Hamiltonian structures were established by using super trace identity.
Xiuzhi Xing, Jingzhu Wu, Xianguo Geng
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Constraints and Soliton Solutions for the KdV Hierarchy and AKNS Hierarchy [PDF]
, 2010 It is well-known that the finite-gap solutions of the KdV equation can be generated by its recursion operator.We generalize the result to a special form of Lax pair, from which a method to constrain the integrable system to a lower-dimensional or fewer ...
C.W. Cao +6 more
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A Hierarchy of Integral Operators
Rocky Mountain Journal of Mathematics, 1997 Let \(m\) and \(n\) be integers with \(m+n \geq 0\), \(m^2+ n^2>0\), we define functions \(K_{m,n}\) as follows: \[ K_{m,n} (z)= (-m)! (-1)^m \bigl[(n-1)! \pi\bigr]^{-1} z^{m-1} \overline z^{n-1} \quad \text{for} \quad m\leq 0, \] \[ K_{m,n} (z)= (-n)! (-1)^n\bigl[ (m-1)!
Begehr, Heinrich, Hile, G.N.
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Explicit Solutions and Conservation Laws for a New Integrable Lattice Hierarchy
Complexity, 2019 An integrable lattice hierarchy is derived on the basis of a new matrix spectral problem. Then, some properties of this hierarchy are shown, such as the Liouville integrability, the bi-Hamiltonian structure, and infinitely many conservation laws.
Qianqian Yang, Qiulan Zhao, Xinyue Li
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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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Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4)
Advances in Mathematical Physics, 2015 Based on the six-dimensional real special orthogonal Lie algebra SO(4), a new Lax integrable hierarchy is obtained by constructing an isospectral problem.
Yan Cao, Liangyun Chen, Baiying He
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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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Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality [PDF]
, 2017 We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy).
Fateev, Vladimir A.
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Constrained lattice-field hierarchies and Toda system with Block symmetry
, 2016 In this paper, we construct the additional $W$-symmetry and ghost symmetry of two-lattice field integrable hierarchies. Using the symmetry constraint, we construct constrained two-lattice integrable systems which contain several new integrable difference
Li, Chuanzhong
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