Ward’s Solitons II: Exact Solutions
Copyright policy )Ward’s Solitons II: Exact Solutions
AbstractIn a previous paper, we gave a correspondence between certain exact solutions to a (2 + 1)-dimensional integrable Chiral Model and holomorphic bundles on a compact surface. In this paper, we use algebraic geometry to derive a closed-form expression for those solutions and show by way of examples how the algebraic data which parametrise the solution space dictates the behaviour of the solutions.
Soliton equations, integrable chiral model, sigma model, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, interacting soliton solutions, Model quantum field theories, Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, Harmonic maps, etc., holomorphic bundles on a compact surface, harmonic map
Soliton equations, integrable chiral model, sigma model, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, interacting soliton solutions, Model quantum field theories, Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, Harmonic maps, etc., holomorphic bundles on a compact surface, harmonic map
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