Bound states of the elliptic sine-Gordon equation

DOI10.1016/S0167-2789(97)89486-9zbMath0939.35172OpenAlexW2011138462MaRDI QIDQ1963294

Arkadi G. Shagalov, Victor Yu. Novokshenov

Publication date: 24 January 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)89486-9

zbMATH Keywords

singular solutionsJosephson junctiontarget patternsliquid crystalthird Painlevé equationelliptic sine-Gordon equationfinite-energy solutionsbound-state solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elliptic equations (35J60) Statistical mechanics of superconductors (82D55) Liquid crystals (76A15)

Related Items (4)

Classification of finite Morse index solutions to the elliptic sine-Gordon equation in the plane ⋮ Skyrmion states in chiral liquid crystals ⋮ The p-widths of a surface ⋮ The Cauchy problem of coupled elliptic sine-Gordon equations with noise: analysis of a general kernel-based regularization and reliable tools of computing

Cites Work

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• Dynamics of rotationally symmetric solutions in near-SG field model with applications to large-area Josephson junctions and ferromagnets
• The isomonodromic deformation method in the theory of Painlevé equations
• Spirals in liquid crystals in a rotating magnetic field
• Spiral waves in nematic and cholesteric liquid crystals
• Painlevé functions of the third kind

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