Topological defects in incommensurate magnetic and crystal structures and quasi-periodic solutions of the elliptic sine-Gordon equation

DOI10.1016/0167-2789(88)90012-7zbMath0695.35198OpenAlexW2041265733MaRDI QIDQ909909

Vladimir Valerievich Kiselev, Alexander B. Borisov

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90012-7

zbMATH Keywords

quasi-periodic solutions Bäcklund transformation topological defects elliptic sine- Gordon equation nonlinear spin waves vortex magnetic structures Vortex-type singular solutions

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Partial differential equations of mathematical physics and other areas of application (35Q99) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (9)

Skyrmion states in chiral liquid crystals ⋮ Vortex dipoles on a soliton lattice background: Solution of the boundary-value problem by inverse spectral transform ⋮ Nonlinear dynamics of a quasi-one-dimensional helicoidal structure ⋮ Solutions of a system of two-dimensional Euler equations and stationary structures in an ideal fluid ⋮ On the differential-difference sine-Gordon equation with an integral type source ⋮ Solitons and nonlinear waves in the spiral magnetic structures ⋮ Multi-valued finite-zone solutions of the equation \(\Delta u=\sin u\) ⋮ Nonlinear \(\sigma\)-model in a curved space, gauge equivalence, and exact solutions of \((2+0)\)-dimensional integrable equations ⋮ Pohlmeyer's transformation and the \((2+0)\) integrable equations of statistical physics

Cites Work

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