Naumkin, P. I. Asymptotics of solutions of a modified Whitham equation with surface tension. (English. Russian original) Zbl 1414.35032 Izv. Math. 83, No. 2, 361-390 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 2, 174-203 (2019). MSC: 35B40 35Q35 76B15 35S10 PDFBibTeX XMLCite \textit{P. I. Naumkin}, Izv. Math. 83, No. 2, 361--390 (2019; Zbl 1414.35032); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 2, 174--203 (2019) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Asymptotics for the modified Boussinesq equation in one space dimension. (English) Zbl 1387.35491 Adv. Differ. Equ. 23, No. 3-4, 239-294 (2018). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q35 35B40 76B15 35B30 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Adv. Differ. Equ. 23, No. 3--4, 239--294 (2018; Zbl 1387.35491) Full Text: Euclid
Aoki, Kazuki; Hayashi, Nakao; Naumkin, Pavel I. Global existence of small solutions for the fourth-order nonlinear Schrödinger equation. (English) Zbl 1367.35148 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 6, Paper No. 65, 18 p. (2016). MSC: 35Q55 35Q35 35Q51 35A01 76B15 PDFBibTeX XMLCite \textit{K. Aoki} et al., NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 6, Paper No. 65, 18 p. (2016; Zbl 1367.35148) Full Text: DOI
Kaǐkina, E. I.; Naumkin, P. I.; Shishmarëv, I. A. The Cauchy problem for nonlinear systems of equations in a critical case. (English. Russian original) Zbl 1079.35079 Sb. Math. 195, No. 11, 1575-1605 (2004); translation from Mat. Sb. 195, No. 11, 31-62 (2004). MSC: 35Q35 35B40 35S10 76B15 PDFBibTeX XMLCite \textit{E. I. Kaǐkina} et al., Sb. Math. 195, No. 11, 1575--1605 (2004; Zbl 1079.35079); translation from Mat. Sb. 195, No. 11, 31--62 (2004) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I.; Uchida, Hidetake Analytic smoothing effects of global small solutions to the elliptic-hyperbolic Davey-Stewartson system. (English) Zbl 1223.35287 Adv. Differ. Equ. 7, No. 4, 469-492 (2002). MSC: 35Q55 76B15 35L70 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Adv. Differ. Equ. 7, No. 4, 469--492 (2002; Zbl 1223.35287)
Naumkin, P. I.; Shishmarev, I. A. On the asymptotic representation of surface waves in the form of two travelling Burgers waves. (English. Russian original) Zbl 0881.35104 Dokl. Math. 51, No. 1, 146-150 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 5, 602-606 (1995). MSC: 35Q53 76B15 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Dokl. Math. 51, No. 1, 146--150 (1995; Zbl 0881.35104); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 5, 602--606 (1995)
Naumkin, P. I.; Shishmarëv, I. A. Asymptotics, as \(t\to\infty\), of the solution of a nonlinear equation with weak dissipation and dispersion. (English. Russian original) Zbl 0820.35120 Russ. Acad. Sci., Izv., Math. 43, No. 3, 443-453 (1994); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 6, 52-63 (1993). MSC: 35Q53 35B40 76B15 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarëv}, Russ. Acad. Sci., Izv., Math. 43, No. 3, 1 (1993; Zbl 0820.35120); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 6, 52--63 (1993) Full Text: DOI
Naumkin, P. I.; Shishmarev, I. A. The breaking of surface waves. (English. Russian original) Zbl 0810.35087 Differ. Equations 28, No. 5, 722-727 (1992); translation from Differ. Uravn. 28, No. 5, 886-892 (1992). MSC: 35Q35 76B15 35R10 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Differ. Equations 28, No. 5, 886--892 (1992; Zbl 0810.35087); translation from Differ. Uravn. 28, No. 5, 886--892 (1992)
Naumkin, P. I.; Shishmarev, I. A. Generalized solutions for the Whitham equation. (English. Russian original) Zbl 0788.76014 Differ. Equations 28, No. 1, 115-120 (1992); translation from Differ. Uravn. 28, No. 1, 121-126 (1992). MSC: 76B15 35Q53 35L60 35L67 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Differ. Equations 28, No. 1, 115--120 (1992; Zbl 0788.76014); translation from Differ. Uravn. 28, No. 1, 121--126 (1992)
Naumkin, P. I.; Shishmarev, I. A. Generalized solutions for the Whitham equation. (Russian) Zbl 0751.76009 Differ. Uravn. 28, No. 1, 121-126 (1992). Reviewer: B.A.Malomed (Ramat Aviv) MSC: 76B15 35Q53 35L60 35L67 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Differ. Uravn. 28, No. 1, 121--126 (1992; Zbl 0751.76009)
Naumkin, P. I.; Shshimarëv, I. A. Asymptotics for large time of solutions of a system of equations for surface waves. (English. Russian original) Zbl 0831.35140 Math. USSR, Izv. 38, No. 3, 525-551 (1992); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 55, No. 3, 537-559 (1991). MSC: 35Q35 76B15 35B40 45K05 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shshimarëv}, Math. USSR, Izv. 38, No. 3, 525--551 (1991; Zbl 0831.35140); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 55, No. 3, 537--559 (1991) Full Text: DOI
Naumkin, P. I.; Shishmarev, I. A. On nonlinear nonlocal equations in wave theory. II: System of surface wave equations. Asymptotics of dissipative equations. (English. Russian original) Zbl 0744.35050 Mosc. Univ. Phys. Bull. 45, No. 6, 5-17 (1990); translation from Vestn. Mosk. Univ., Ser. III 31, No. 6, 3-17 (1990). Reviewer: N.A.Lar’kin (Novosibirsk) MSC: 35Q53 76B15 35B40 35D05 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Mosc. Univ. Phys. Bull. 45, No. 6, 5--17 (1990; Zbl 0744.35050); translation from Vestn. Mosk. Univ., Ser. III 31, No. 6, 3--17 (1990)
Naumkin, P. I.; Shishmarev, I. A. On nonlinear nonlocal equations in wave theory. I: The Whitham equation. (English. Russian original) Zbl 0744.35049 Mosc. Univ. Phys. Bull. 45, No. 5, 5-17 (1990); translation from Vestn. Mosk. Univ., Ser. III 31, No. 5, 3-16 (1990). Reviewer: E.Paliokas (Vilnius) MSC: 35Q53 35Q35 76B15 35D05 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Mosc. Univ. Phys. Bull. 45, No. 5, 5--17 (1990; Zbl 0744.35049); translation from Vestn. Mosk. Univ., Ser. III 31, No. 5, 3--16 (1990)
Naumkin, P. I.; Shishmarëv, I. A. On a system of equations describing surface waves. (English. Russian original) Zbl 0759.35038 Math. USSR, Izv. 37, No. 1, 119-156 (1991); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 4, 774-809 (1990). MSC: 35Q35 76B15 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarëv}, Math. USSR, Izv. 37, No. 1, 119--156 (1990; Zbl 0759.35038); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 4, 774--809 (1990) Full Text: DOI
Naumkin, P. I.; Shishmarev, I. A. Asymptotic limit of the solutions of a set of surface wave equations for long time scales. (English. Russian original) Zbl 0729.76016 Sov. Phys., Dokl. 35, No. 12, 1039-1040 (1990); translation from Dokl. Akad. Nauk SSSR 315, No. 6, 1357-1360 (1990). MSC: 76B15 35Q35 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Sov. Phys., Dokl. 35, No. 12, 1039--1040 (1990; Zbl 0729.76016); translation from Dokl. Akad. Nauk SSSR 315, No. 6, 1357--1360 (1990)
Naumkin, P. I.; Shishmarëv, I. A. On a system of equations describing surface waves. (Russian) Zbl 0721.35056 Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 4, 774-809 (1990). Reviewer: A.A.Papin (Barnaul) MSC: 35Q35 76B15 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarëv}, Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 4, 774--809 (1990; Zbl 0721.35056)
Naumkin, P. I.; Shishmarev, I. A. The Cauchy problem for Whitham equation. II. (Russian. English summary) Zbl 0974.45503 Mat. Model. 2, No. 9, 88-104 (1990). MSC: 45K05 76B15 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Mat. Model. 2, No. 9, 88--104 (1990; Zbl 0974.45503) Full Text: MNR
Naumkin, P. I.; Shishmarev, I. A. The Cauchy problem for Whitham equation. I. (Russian. English summary) Zbl 0974.45502 Mat. Model. 2, No. 9, 70-87 (1990). MSC: 45K05 76B15 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Mat. Model. 2, No. 9, 70--87 (1990; Zbl 0974.45502) Full Text: MNR
Naumkin, P. I.; Shishmarev, I. A. Long-time asymptotic behaviour of the solutions of Whitham’s equation. (Russian. English summary) Zbl 0974.45501 Mat. Model. 2, No. 3, 75-88 (1990). MSC: 45K05 76B15 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Mat. Model. 2, No. 3, 75--88 (1990; Zbl 0974.45501) Full Text: MNR
Naumkin, P. I.; Shishmarev, I. A. On a periodic problem for Whitham’s equation. (English. Russian original) Zbl 0699.35226 Sov. Math., Dokl. 37, No. 2, 526-528 (1988); translation from Dokl. Akad. Nauk SSSR 299, No. 5, 1063-1065 (1988). Reviewer: N.L.Maria MSC: 35Q99 76B15 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Sov. Math., Dokl. 37, No. 2, 526--528 (1988; Zbl 0699.35226); translation from Dokl. Akad. Nauk SSSR 299, No. 5, 1063--1065 (1988)
Naumkin, P. I. Whitham’s equation with a singular kernel. (English. Russian original) Zbl 0664.76013 U.S.S.R. Comput. Math. Math. Phys. 27, No. 2, 290-211 (1987); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 4, 633-636 (1987). MSC: 76B15 35Q99 PDFBibTeX XMLCite \textit{P. I. Naumkin}, U.S.S.R. Comput. Math. Math. Phys. 27, No. 2, 290--211 (1987; Zbl 0664.76013); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 4, 633--636 (1987) Full Text: DOI
Naumkin, P. I.; Shishmarev, I. A. On the Cauchy problem for Whitham’s equation. (English. Russian original) Zbl 0557.45006 Sov. Math., Dokl. 28, 719-721 (1983); translation from Dokl. Akad. Nauk SSSR 273, 804-807 (1983). Reviewer: G.Cimmino MSC: 45K05 35Q99 76B15 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Sov. Math., Dokl. 28, 719--721 (1983; Zbl 0557.45006); translation from Dokl. Akad. Nauk SSSR 273, 804--807 (1983)