Publications on Numerical methods for solution of nonlinear boundary problems in the polaron theory

N.K.Balabaev, V.D.Lakhno. On the structure of strong-coupling polaron // Preprint. – Pushchino: Scientific Center of Biological Researches USSR Academy of Sciences, 1979 ( in Russian )

N.K.Balabaev, V.D.Lakhno. Soliton solutions in the polaron theory // Theoretical and Mathematical Physics, 1980, Vol.45, №1, P.936-938

N.K.Balabaev, V.D.Lakhno. Self-consistent solutions in continuum model of F-centers // Preprint. – Pushchino: Scientific Center of Biological Researches USSR Academy of Sciences, 1980 ( in Russian )

N.K.Balabaev, V.D.Lakhno, A.M.Molchanov. Excited self-consistent states of electron in homopolar crystals // Preprint. – Pushchino: Scientific Center of Biological Researches USSR Academy of Sciences, 1983 ( in Russian )

N.K.Balabaev, V.D.Lakhno. Self-consistent solutions in the continuous model of F-centers and the problem of relaxed excited states // Opt. Spektrosk., 1983, Vol.55, №2, P.308-312

N.K.Balabaev, V.D.Lakhno, A.M.Molchanov, B.P.Atanasov. Extended electron states in proteins // J. Mol. El., 1990, Vol.6, P.155-166

R.R.Gabdoulline. Small dimension approximation of Pekar polaron equation solutions // Preprint. – Pushchino: Scientific Center of Biological Researches USSR Academy of Sciences, 1991 ( in Russian )

R.R.Gabdoulline, E.E.Shnol. On the non-spherical solutions to the Pekar equation // Algorithms designing for and solving of the problems of mathematical physics // Eds. G.P.Voskresensky, A.V.Zabrodin. – Moscow, 1991, P.58-61

R.R.Gabdoulline, E.E.Shnol. Numerical investigation of extended electronic states in proteins // Technical Report. – Pushchino: IMPB RAS, 1993

I.V.Puzynin, I.V.Amirkhanov, E.V.Zemlyanaya, V.N.Pervushin, T.P.Puzynina, T.A.Strizh, V.D. Lakhno. The generalized continuous analog of Newton’s method for the numerical study of some nonlinear quantum-field models // Physics of Particles and Nuclei, 1999, Vol.30, №1, P.87-110