Perturbation theory based on the Riemann problem for the Landau-Lifshitz equation

DOI10.1016/0167-2789(89)90024-9zbMath0703.35162OpenAlexW2144743412MaRDI QIDQ916003

Yuri S. Kivshar

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90024-9

zbMATH Keywords

inverse scattering transformRiemann problemLandau-Lifshitz equationmagnetization

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Scattering theory for PDEs (35P25) Soliton equations (35Q51) Perturbations in context of PDEs (35B20)

Related Items (4)

Perturbation theory for nearly integrable multicomponent nonlinear PDEs ⋮ Perturbation theory for the modified nonlinear Schrödinger solitons ⋮ Dynamics of subpicosecond dispersion-managed soliton in a fibre: a perturbative analysis ⋮ The soliton perturbation theory based on the Riemann-Hilbert spectral problem.

Cites Work

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• The Riemann boundary problem on a torus and the inverse scattering problem for the Landau-Lifschitz equation
• Inelastic interactions of solitons in nearly integrable systems. II
• The Riemann boundary value problem on closed Riemann surfaces and integrable systems
• Quasiclassical quantisation and radiative decay of sine-Gordon solitons pinned by a micro-inhomogeneity
• Soliton Evolution in the Presence of Perturbation

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