Geodesic
Integrable model of Yang--Mills theory with scalar field and quasi-instantons
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 1, pp. 47-60

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Within the framework of the Euclidean conformal invariant Yang–Mills theory with a scalar field, a two-dimensional Hamiltonian system is considered which is integrable under the definite relationship between coupling constants. A particular solution of the Hamilton–Jacobi equation leads to the system of first order equations providing nonself-dual instanton-like solution of the model considered. As a generalization of the system, the quasi-self-duality equation is suggested which is integrated by means of 't Hooft ansatz and results in quas-self-dual instantons – quasi-instantons. 
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     author = {V. A. Yatsun},
     title = {Integrable model of {Yang--Mills} theory with scalar field and quasi-instantons},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {47--60},
     publisher = {mathdoc},
     volume = {73},
     number = {1},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a4/}
}
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V. A. Yatsun. Integrable model of Yang--Mills theory with scalar field and quasi-instantons. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 1, pp. 47-60. http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a4/