Results 21 to 30 of about 326 (216)
Abstract and Applied Analysis, 2013 New explicit Lie algebras are introduced for which the nonlinear integrable couplings of the Li soliton hierarchy are obtained. Then, the nonlinear integrable couplings of Li soliton hierarchy with self-consistent sources are established.
Han-yu Wei, Tie-cheng Xia
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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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On the Lagrangian Structure of Integrable Hierarchies [PDF]
, 2016 We develop the concept of pluri-Lagrangian structures for integrable hierarchies. This is a continuous counterpart of the pluri-Lagrangian (or Lagrangian multiform) theory of integrable lattice systems. We derive the multi-time Euler Lagrange equations in their full generality for hierarchies of two-dimensional systems, and construct a pluri-Lagrangian
Suris, Yuri B., Vermeeren, Mats
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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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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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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 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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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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