The dynamics of chiral cosmological fields in the canonical phantom model
... Cosmol. 2005. Vol. 11. P. 329—332.
17. Chervon S. V., Fomin I. V. On calculation of the cosmological parameters in exact models of inflation // Grav. Cosmol. 2008. Vol. 14. P. 163.
Fomin I. V., Chervon S. V., Krukov S. V.
inflation, scalar field, exact solutions, gravitational waves
A Lax pair for the (1+3) nonlinear equation
... and physics. The discovery of inverse scattering method played an important role in reconsidering the place of integrable systems of nonlinear partial differential equations in mathematical sciences. The search for a systematic approach to developing exact solutions of such systems has become one of the main problems in the theory of integrable systems.
1. Fokas A. S. Symmetries and integrability // Stud. Appl. Math. 77. 1987. No. 3. P. 253—299.
2. Солитоны и метод обратной задачи ...
One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid
We propose a simple algebraic method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluids.The problem reduces to consecutively solution three linear partial differential equations for a nonviscous fluid and to solving three linear partial differential equations ...
On the relations between the integrable hierarchies
... Physics. 2002. Vol. 43, № 2. P. 1095–1105.
14. Yurov V. A., Yurov A. V. The Cauchy problem for the generalized hyperbolic Novikov-Veselov equation. arXiv:1509.06078 [nlin.SI].
Yurov A., Yurova A.
Lax pair, nonlinear partial differential equation, exact solution, integrable equation
An integrable case of the Schrödinger matrix equation for multilevel quantum systems
Лекции по теории динамических систем: учеб. пособие. Калининград, 2004.
Zaitsev A. A., Kargapolov D. A.
Schrödinger equation, multilevel quantum system, exact solution, invariant, characteristic equation.