Some exact nontrivial global solutions with values in unit sphere for two-dimensional Landau-Lifshitz equations. (English) Zbl 1063.35047

Summary: We present some exact global solutions with values in the unit sphere for two-dimensional Landau-Lifshitz equations with initial-boundary conditions, and obtain a continuum which can be made from those solutions of a bundle of Landau-Lifshitz equations.


35C05 Solutions to PDEs in closed form
35K55 Nonlinear parabolic equations
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
Full Text: DOI


[1] Zhou Y., Sci. Sinica A 4 pp 337– (1986)
[2] Guo B., Adv. Math. 30 pp 91– (2001)
[3] Guo B., Comm. Nonlinear Sci. Numerical Simulation 5 pp 43– (2000) · Zbl 0952.35143 · doi:10.1016/S1007-5704(00)90023-6
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.