Vortex dipoles on a soliton lattice background: Solution of the boundary-value problem by inverse spectral transform

DOI10.1016/S0167-2789(97)80007-3zbMath0931.37035OpenAlexW2082056046WikidataQ127846207 ScholiaQ127846207MaRDI QIDQ1376432

Alexander B. Borisov, Vladimir Valerievich Kiselev

Publication date: 17 December 1997

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)80007-3

zbMATH Keywords

asymptotic behaviorboundary-value probleminverse scattering methodtopological chargesvortex dipolecnoidal wavedipole field

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Statistical mechanics of superconductors (82D55) Inverse scattering problems in quantum theory (81U40) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

Nonlinear dynamics of a quasi-one-dimensional helicoidal structure

Cites Work

• Topological defects in incommensurate magnetic and crystal structures and quasi-periodic solutions of the elliptic sine-Gordon equation
• One-dimensional dislocations. I. Static theory
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