Popov Andrei Gennad'evich

Publications in Math-Net.Ru

1. Обобщенное $\Lambda^2$-уравнение третьего порядка. Структурное восстановление порождающей метрики для модифицированного уравнения Кортевега–де Фриза
   
   Zh. Vychisl. Mat. Mat. Fiz., 52:10 (2012),  1847–1854
2. Pseudospherical surfaces and some problems of mathematical physics
   
   Fundam. Prikl. Mat., 11:1 (2005),  227–239
3. Non-Euclidean geometry: The Gauss formula and an interpretation of partial differential equations
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 11 (2002),  5–23
4. Application of discrete nets on a hyperbolic plane in the integration of equations of the Lobachevski class
   
   Zh. Vychisl. Mat. Mat. Fiz., 39:6 (1999),  932–942
5. Mathematical modeling of optical discharge subsonic propagation in $\mathrm{CO}_2$-laser's beam with the refraction of laser radiation
   
   Mat. Model., 8:5 (1996),  3–25
6. Chebyshev nets and the development of net approaches in mathematical physics (on P. L. Chebyshev's “On cutting cloth”)
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6,  82–85
7. A geometric method for the exact integration of the elliptic Liouville equation $\Delta u=e^u$
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 3,  82–84
8. Lobachevskij geometry and physics
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 3,  44–49
9. Exact formulas for constructing solutions of the Liouville equation $\Delta_2u=e^u$ from solutions of the Laplace equation $\Delta_2 v=0$
   
   Dokl. Akad. Nauk, 333:4 (1993),  440–441
10. Lobachevskii geometry and equations of mathematical physics
    
    Dokl. Akad. Nauk, 332:4 (1993),  418–421
11. On the transformation of local solutions of equations associated with the geometry of surfaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 9,  35–44
12. Geometry of the sine-Gordon equation
    
    Itogi Nauki i Tekhniki. Ser. Probl. Geom., 23 (1991),  99–130
13. A geometric approach to the interpretation of solutions of the sine-Gordon equation
    
    Dokl. Akad. Nauk SSSR, 312:5 (1990),  1109–1111
14. Complete geometric interpretation of a single-soliton solution of arbitrary amplitude of the sine-Gordon equation
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 5,  3–8
15. The construction of self-modeling solutions of the fundamental equations of the theory of surfaces of constant negative curvature
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 5,  74–76