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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.

MSC:

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
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References:

[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
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