The Riemann boundary problem on a torus and the inverse scattering problem for the Landau-Lifschitz equation
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Publication:793912
DOI10.1007/BF00398705zbMath0539.35069MaRDI QIDQ793912
Publication date: 1983
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Fredholm integral equationsolitoninverse scattering problemferromagnetsLandau-Lifschitz equationmatrix Riemann boundary problem
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25) Partial differential equations of mathematical physics and other areas of application (35Q99) Riemann-Hilbert problems in context of PDEs (35Q15)
Related Items (16)
Method of the inverse scattering problem with spectral parameter on an algebraic curve ⋮ Elliptic curves and soliton matrix differential equations ⋮ Gauge equivalent structure and solitary wave solution for a modified Landau-Lifshitz equation ⋮ Integration of the Landau-Lifshitz equation with preferred-axis anisotropy by the method of the inverse scattering problem ⋮ Elliptic solutions of Boussinesq type lattice equations and the elliptic \(N\)th root of unity ⋮ Perturbation theory based on the Riemann problem for the Landau-Lifshitz equation ⋮ Solvability of the inverse scattering problem for the Landau-Lifshitz equation. I ⋮ Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions ⋮ Reduced Maxwell-Bloch equations with anisotropic dipole momentum ⋮ Riemann problem method for generalized Heisenberg equation ⋮ A generalization of the Landau-Lifschitz equation: breathers and rogue waves ⋮ The Cauchy problem for the Landau-Lifschitz equation on a finite interval ⋮ Elliptic bundle and generating operators ⋮ Families of orthogonal Laurent polynomials, hyperelliptic lie algebras and elliptic integrals ⋮ The Riemann boundary problem on Riemann surfaces and the inverse scattering problem for the Landau-Lifschitz equation ⋮ Real algebrogeometric solutions of the Landau-Lifshitz equation in Prym theta functions
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