Shrinking of solitons in the (2 + 1)-dimensional sigma model

DOI10.1088/0951-7715/9/4/005zbMath0895.58030OpenAlexW2087129185MaRDI QIDQ4381989

Wojciech J. Zakrzewski, B. M. A. G. Piette

Publication date: 14 September 1998

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/9/4/005

zbMATH Keywords

numerical simulation\((2+1)\)-dimensional \(S^2\) sigma modelshrinking of solitons

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Model quantum field theories (81T10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items (9)

Topological Q-solitons ⋮ Soliton-like structures in two spatial dimensions and their properties ⋮ The \(L^{2}\) geometry of spaces of harmonic maps \(S^{2}\to S^2\) and \(\mathbb RP^2\to \mathbb RP^2\) ⋮ Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems ⋮ Gravity thaws the frozen moduli of the \({\mathbb CP}^ 1\) lump. ⋮ On collapse of wave maps ⋮ On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model ⋮ Numerical integration of \((2+1)\) dimensional PDEs for \(S^2\) valued functions ⋮ Boundary metrics on soliton moduli spaces

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