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Boundary-value problem for the two-dimensional stationary Heisenberg magnet of nontrivial background. II

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Publication:1921870
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DOI10.1007/BF02068748zbMath0859.35127MaRDI QIDQ1921870

G. G. Varzugin, V. D. Lipovskij, E. Sh. Gutshabash

Publication date: 15 October 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

sinh-Gordon equation\(N\)-soliton solutionsnonlinear \(O(3)\) sigma modelstationary Heisenberg magnet


Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)


Related Items (2)

Nonlinear \(\sigma\)-model in a curved space, gauge equivalence, and exact solutions of \((2+0)\)-dimensional integrable equations ⋮ Discrete symmetries, Darboux transformation, and exact solutions of the Wess-Zumino-Novikov-Witten model



Cites Work

  • The isomonodromic deformation method in the theory of Painlevé equations
  • Integrable Hamiltonian systems and interactions through quadratic constraints
  • A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation


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