Naumkin Pavel Ivanovich

Publications in Math-Net.Ru

1. Logarithmic nature of the long-time asymptotics of solutions of a Sobolev-type nonlinear equations with cubic nonlinearities
   
   Mat. Sb., 214:7 (2023),  134–160
2. Asymptotics of solutions of a modified Whitham equation with surface tension
   
   Izv. RAN. Ser. Mat., 83:2 (2019),  174–203
3. Time decay estimates for solutions of the Cauchy problem for the modified Kawahara equation
   
   Mat. Sb., 210:5 (2019),  72–108
4. The dissipative property of a cubic non-linear Schrödinger equation
   
   Izv. RAN. Ser. Mat., 79:2 (2015),  137–166
5. Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation
   
   Izv. RAN. Ser. Mat., 77:2 (2013),  97–108
6. The far-field asymptotics of solutions of a fractional non-linear equation
   
   Izv. RAN. Ser. Mat., 76:2 (2012),  37–66
7. Periodic Boundary Value Problem for Nonlinear Sobolev-Type Equations
   
   Funktsional. Anal. i Prilozhen., 44:3 (2010),  14–26
8. A boundary-value problem for a non-linear equation with a fractional derivative
   
   Izv. RAN. Ser. Mat., 73:6 (2009),  101–124
9. Large-time asymptotic behaviour of solutions of non-linear Sobolev-type equations
   
   Uspekhi Mat. Nauk, 64:3(387) (2009),  3–72
10. Asymptotics for nonlinear damped wave equations with large initial data
    
    Sib. Èlektron. Mat. Izv., 4 (2007),  249–277
11. The Cauchy problem for an equation of Sobolev type with power non-linearity
    
    Izv. RAN. Ser. Mat., 69:1 (2005),  61–114
12. Asymptotics of solutions of non-linear dissipative equations
    
    Izv. RAN. Ser. Mat., 68:3 (2004),  29–62
13. Cauchy problem for non-linear systems of equations in the critical case
    
    Mat. Sb., 195:11 (2004),  31–62
14. Asymptotics for Nonlinear Evolution Equations with Small Dissipation
    
    Differ. Uravn., 39:5 (2003),  624–637
15. Evolution of a step for the Benjamin–Bona–Mahony–Burgers equation
    
    Dokl. Akad. Nauk, 352:6 (1997),  742–745
16. Solution asymptotics at large times for the non-linear Schrödinger equation
    
    Izv. RAN. Ser. Mat., 61:4 (1997),  81–118
17. A periodic problem for a system of equations describing the conductivity of nerve pulses
    
    Differ. Uravn., 32:4 (1996),  562–564
18. Asymptotics as $t\to\infty$ of the solutions of nonlinear equations with nonsmall initial perturbations
    
    Mat. Zametki, 59:6 (1996),  855–864
19. Asymptotic behaviour as $t\to \infty$ of the solutions of the generalized Korteweg–de Vries equation
    
    Mat. Sb., 187:5 (1996),  71–110
20. On the asymptotic behavior as $t\to\infty$ of the solutions of the generalized Kortweg–de Vries equation
    
    Dokl. Akad. Nauk, 344:2 (1995),  165–167
21. On an asymptotic representation of surface waves in the form of two Burgers traveling waves
    
    Dokl. Akad. Nauk, 340:5 (1995),  602–606
22. Asymptotic Representation of Surface Waves in the Form of Two Traveling Burgers Waves
    
    Funktsional. Anal. i Prilozhen., 29:3 (1995),  25–40
23. On a relation between solutions of different nonlinear equations for large time values
    
    Dokl. Akad. Nauk, 334:4 (1994),  429–432
24. An asymptotic relationship between solutions of different nonlinear equations for large time values. II
    
    Differ. Uravn., 30:8 (1994),  1432–1444
25. An asymptotic relationship between solutions of different nonlinear equations for large time values. I
    
    Differ. Uravn., 30:5 (1994),  873–881
26. On a system of equations that describes nerve conduction
    
    Dokl. Akad. Nauk, 328:6 (1993),  683–685
27. On the asymptotic behavior for large time values of the solutions of nonlinear equations in the case of maximal order
    
    Differ. Uravn., 29:6 (1993),  1071–1074
28. Asymptotic behavior, for large time values, of the solutions of the Korteweg–de Vries equation with dissipation
    
    Differ. Uravn., 29:2 (1993),  306–319
29. Asymptotic, as $t\to\infty$, of the solution of a nonlinear equation with weak dissipation and dispersion
    
    Izv. RAN. Ser. Mat., 57:6 (1993),  52–63
30. Large-time asymptotic of solutions of the nonlinear Schrodinger equation in $2+1$ dimensions
    
    Izv. RAN. Ser. Mat., 57:5 (1993),  197–209
31. On the stability of solutions of traveling wave type for the Kuramoto–Sivashinskii equation
    
    Dokl. Akad. Nauk, 323:2 (1992),  266–269
32. On the destruction of surface waves
    
    Differ. Uravn., 28:5 (1992),  886–892
33. Generalized solutions for the Whitham equation
    
    Differ. Uravn., 28:1 (1992),  121–126
34. О распаде ступеньки для уравнения Кортевега–де Фриза–Бюргерса
    
    Funktsional. Anal. i Prilozhen., 26:2 (1992),  88–93
35. On the asymptotic behavior as $t\to\infty$ of solutions of some nonlinear equations
    
    Dokl. Akad. Nauk SSSR, 321:2 (1991),  290–293
36. The step-decay problem for the Korteweg-de Vries-Burgers equation
    
    Funktsional. Anal. i Prilozhen., 25:1 (1991),  21–32
37. Asymptotic for large time of solutions of a system of equations for surface waves
    
    Izv. Akad. Nauk SSSR Ser. Mat., 55:3 (1991),  537–559
38. The asymptotics as $t\to\infty$ of solutions of a nonlinear nonlocal Schrödinger equation
    
    Mat. Sb., 182:7 (1991),  1024–1042
39. On the asymptotic behavior for large time values of solutions of a system of equations of surface waves
    
    Dokl. Akad. Nauk SSSR, 315:6 (1990),  1357–1360
40. On a system of equations describing surface waves
    
    Izv. Akad. Nauk SSSR Ser. Mat., 54:4 (1990),  774–809
41. The Cauchy problem for the Whitham equation. II
    
    Mat. Model., 2:9 (1990),  88–104
42. The Cauchy problem for Whitham equation. I
    
    Mat. Model., 2:9 (1990),  70–87
43. Asymptotic behavior of the solutions of the Whithem's equation for large time
    
    Mat. Model., 2:3 (1990),  75–88
44. Asymptotic for $t\to\infty$ of solutions to generalized Kolmogorov–Vlasov–Piskunov equation
    
    Mat. Model., 1:6 (1989),  109–125
45. Asymptotic behavior, as $t\to\infty,$ of solutions of nonlinear evolution equations with dissipation
    
    Mat. Zametki, 45:4 (1989),  118–121
46. A periodic problem for Whitham's equation
    
    Mat. Sb., 180:7 (1989),  946–968
47. A system of equations of surface waves
    
    Dokl. Akad. Nauk SSSR, 301:4 (1988),  788–793
48. A periodic problem for the Whitham equation
    
    Dokl. Akad. Nauk SSSR, 299:5 (1988),  1063–1065
49. Whitham's equation with a singular kernel
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987),  633–636
50. On the existence and destruction of waves that can be described by the Whitham equation
    
    Dokl. Akad. Nauk SSSR, 288:1 (1986),  90–95
51. The Whitham equation with a singular kernel and small interaction
    
    Differ. Uravn., 21:10 (1985),  1818–1819
52. Breaking of waves for the Whitham equation with singular kernel. II
    
    Differ. Uravn., 21:10 (1985),  1775–1790
53. Breaking of waves for the Whitham equation with singular kernel. I
    
    Differ. Uravn., 21:3 (1985),  499–508
54. On the Cauchy problem for the Whitham equation
    
    Dokl. Akad. Nauk SSSR, 273:4 (1983),  804–807
55. On the breaking of waves for the Whitham equation
    
    Dokl. Akad. Nauk SSSR, 265:4 (1982),  809–811