Numerical simulation of forming and evolution of solitons in chain of nucleotide couples
... nucleotide couples in DNA is solved in the frame of Holstein’s model taking account surrounding temperature fluctuations. For the initial conditions chosen specifically the evolution of a special class of solutions of this problem related to the type of soliton is investigated. The existence of solutions in the form of solitary waves in the framework of this model is possible only at very low temperatures the thermostat.
1. Lakhno V. D. DNA nanobioelectronics // International Journal of Quantum Chemistry....
Nonlinear dissipative structures as model of two-dimensional optic solitons
... В. Сопряженные цепочки дискретных симметрий (1+2) нелинейных уравнений // ТМФ. 1999. Т. 119, № 3. С. 419–428.
Yurov A., Shpilevoy A., Gritsenko V.
dissipative structures, optic solitons, Darboux and Laplace transformations, Boiti — Leon — Pempinelli equations.
14-20
Algebra method of the construction of the Maxwell equations in a 2D inhomogeneous dielectric
... 3123—3142.
2. Moutard Th. Sur la construction des equations de la forme 1 d2z (x, y) z dxdy, qui admettent une integrale generale explicite // J. Ecole Polytechnique. 1878. № 45. P. 1—11.
3. Matveev V. B., Salle M. A. Darboux Transformation and Solitons. B.; Heidelberg, 1991.
4. Darboux G. Lecons sur la theorie generale des surfaces et les applications geometriques du calcul infinitesimal. P., 1915. Vol. 2.
5. Crum M. M. Associated Sturm-Liouville systems // Quart. J. Math. 1955. Ser. 2, vol....
Possible manifestations of the quantum Hawking radiation effect in nonlinear optics
The analogy between solitons and black holes is considered for self-induced transparency. In nonlinear optics Hawking radiation can exist. This effect in particular leads to decreasing of soliton energy with time.
Astashenok A. V., Teplyakov A. S.
nonlinear optics,...
The new procedure of receiving the multisoliton solutions of the KdV equation
... пособие / Калинингр. ун-т. Калининград
, 1984.
8
. Darboux G.
Sur une proposition relative aux equation lineaires // Compt.
Rend. 1882. Vol. 94. P. 1456—1459.
9.
Matveev V.
B., Salle M.
A.
Darboux Transformation and Solitons. Berlin; Heidelberg, 1991.
10.
Юров А.
В.
Преобразование Дарбу в квантовой механике: Учеб. пособие / Калинингр. ун-т. Калининград, 1998.
11.
Зайцев ...
The dynamics of localized pulse as solutions of Davey — Stewartson II equations
... behavior of support function on infinity. In particular, the exponentially localized perturbations split into an infinite number of the resonances.
1.
Arcadiev V.
A., Pogrebkov A.
K., Polivanov M.
C.
Inverse scattering transform method and soliton solutions for Davey — Stewartson II equation // Physica D, 1989. 36. P. 189—196.
2.
Iidem.
Closed string-like solutions of the Davey-Stewartson equation // Inverse Problems.
1989.
Vol
. 5, № 1.
P
.
L
1—
L
6.
3.
Гадыльшин ...