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- W2040481808 abstract "Nonlinear $ensuremath{sigma}$ models compatible with the Aratyn-Ferreira-Zimerman ansatz are discussed, the latter ansatz automatically leading to configurations with definite values of the Hopf index. These models are allowed to involve a weight factor which is a function of one of the toroidal coordinates. Depending on the choice of the weight factor, the field equation takes various forms. In one model with a special weight factor, the field equation turns out to be the fifth Painlev'e equation. This model suggests the existence of a knot soliton strictly confined in a finite spatial volume. Some other interesting cases are also discussed." @default.
- W2040481808 created "2016-06-24" @default.
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- W2040481808 date "2002-02-21" @default.
- W2040481808 modified "2023-10-18" @default.
- W2040481808 title "Nonlinear<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>σ</mml:mi></mml:math>models solvable by the Aratyn-Ferreira-Zimerman ansatz" @default.
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- W2040481808 doi "https://doi.org/10.1103/physrevd.65.065008" @default.
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