Edit Profile (opens in new tab) Molotkov, I. A. Compute Distance To: Compute Author ID: molotkov.i-a Published as: Molotkov, I. A. Documents Indexed: 59 Publications since 1958, including 2 Books Co-Authors: 32 Co-Authors with 21 Joint Publications 823 Co-Co-Authors all top 5 Co-Authors 28 single-authored 6 Maslov, Viktor Pavlovich 4 Buldyrev, V. S. 3 Babich, Vasiliĭ Mikhaĭlovich 3 Starkov, Alexander S. 2 Plachenov, A. B. 2 Sardarov, S. S. 2 Shafarevich, Andreĭ Igorevich 1 Bisyarin, M. A. 1 Chernous’ko, Feliks Leonidovich 1 Dobrokhotov, Sergei Yurievich 1 Egorov, Yu. A. 1 Escamilla Reyna, Juan Alberto 1 Fradkin, L. Yu. 1 Frost, V. A. 1 Kalinin, Yu. K. 1 Kaloshin, V. A. 1 Klimov, Dmitrij M. 1 Kryukovskij, A. S. 1 Kucherenko, Valeri V. 1 Lukin, Dmitry S. 1 Lyalinov, Mikhail Anatolievich 1 Mendoza Torres, Francisco Javier 1 Ozerov, D. K. 1 Pavlov, Boris Sergeevich 1 Popov, Aleksandr Leonidovich 1 Rabinovich, Vladimir Samuilovich 1 Romanchuk, A. A. 1 Sánchez Perales, Salvador 1 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich 1 Sergeenko, N. P. 1 Sturova, Izolda V. 1 Vishik, Marko Iosifovich all top 5 Serials 6 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 5 Journal of Soviet Mathematics 5 Russian Journal of Mathematical Physics 5 Doklady Mathematics 4 Problemy Matematicheskoĭ Fiziki 3 Doklady Physics 2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 2 Wave Motion 2 Prikladnaya Matematika i Mekhanika 2 Soviet Physics. Doklady 2 Doklady Akademii Nauk 1 Chaos, Solitons and Fractals 1 Selecta Mathematica Sovietica 1 Vestnik Leningrad University. Mathematics 1 PMM, Journal of Applied Mathematics and Mechanics 1 Proceedings of the Steklov Institute of Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Vestnik Leningradskogo Universiteta. Seriya Fiziki i Khimii 1 Vestnik Leningradskogo Universiteta. Seriya 4. Fizika, Khimiya all top 5 Fields 18 Fluid mechanics (76-XX) 17 Partial differential equations (35-XX) 16 Mechanics of deformable solids (74-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 99 times in 83 Documents Cited by ▼ Year ▼ The space-time ray method. Linear and nonlinear waves. (Prostranstvenno-vremennoj luchevoj metod. Linejnye i nelinejnye volny.) Zbl 0678.35002Babbich, V. M.; Buldyrev, V. S.; Molotkov, I. A. 32 1985 Maslov distribution and formulas for the entropy. Zbl 1252.80001Molotkov, I. A. 12 2010 Waves in a layered nonlinear medium. Zbl 1268.78018Vakulenko, S. A.; Molotkov, I. A. 10 1987 Stationary wave beams in a strongly nonlinear three-dimensional inhomogeneous medium. Zbl 0627.76095Vakulenko, S. A.; Molotkov, I. A. 6 1985 Nonlinear longitudinal waves in inhomogeneous rods. Zbl 0486.73056Molotkov, I. A.; Vakulenko, S. A. 5 1980 Local degeneration of waves in thin waveguide. Zbl 0424.76064Molotkov, I. A.; Starkov, A. S. 5 1978 Analytic methods in the theory of nonlinear waves. (Analiticheskie metody v teorii nelinejnykh voln.) Zbl 1065.76001Molotkov, I. A. 4 2003 Asymptotic solutions to the Hartree equation localized in a small neighborhood of a curve as \(h\to 0\). Zbl 0900.76794Vakulenko, S. A.; Maslov, V. P.; Molotkov, I. A.; Shafarevich, A. I. 4 1995 Mathematical methods in the theory of elastic waves. Zbl 0496.73018Babich, V. M.; Molotkov, I. A. 3 1977 Evolution of a wave beam in an inhomogeneous and strongly nonlinear medium. Zbl 1268.35129Molotkov, I. A.; Vakulenko, S. A. 2 1985 Condition for the absence of reactor superheating: estimation of the critical constant. Zbl 1184.82020Maslov, V. P.; Molotkov, I. A. 2 2007 Surface waves confined to a thin low-velocity layer. Zbl 0376.73022Molotkov, I. A.; Sardarov, S. S. 2 1976 Autowave propagation for general reaction diffusion systems. Zbl 0799.35121Molotkov, I. A.; Vakulenko, S. A. 2 1993 Local resonance interaction of normal modes in connected waveguides. Zbl 0512.76076Molotkov, I. A.; Starkov, A. S. 2 1982 Localization of heat energy in an emergency reactor under overheating. Zbl 1423.82048Molotkov, I. A. 1 2008 Influence of the variable depth and of the nonlinear and dispersion second order terms on the propagation of surface gravitational waves. Zbl 0599.76027Egorov, Yu. A.; Molotkov, I. A. 1 1986 Nonstationary distribution of waves in the region of the geometric shadow in an inhomogeneous medium. Zbl 0101.43503Molotkov, I. A. 1 1961 Maslov parastatistic distribution and entropy formula in dimensions less than three. Zbl 1201.91152Molotkov, I. A. 1 2010 Unstationary modes in a thin and curved wave guide of variable width. Zbl 0425.76061Molotkov, I. A.; Plachenov, A. B. 1 1979 High frequency oscillations of a thin elastic layer of variable thickness. Zbl 0167.53701Molotkov, I. A.; Ozerov, D. K. 1 1967 Surface-wave excitation in connection with diffraction at an impedance contour. Zbl 0239.35023Molotkov, I. A. 1 1972 Excitation of the Rayleigh and Stoneley waves. Zbl 0259.73015Molotkov, I. A. 1 1970 Maslov distribution and formulas for the entropy. Zbl 1252.80001Molotkov, I. A. 12 2010 Maslov parastatistic distribution and entropy formula in dimensions less than three. Zbl 1201.91152Molotkov, I. A. 1 2010 Localization of heat energy in an emergency reactor under overheating. Zbl 1423.82048Molotkov, I. A. 1 2008 Condition for the absence of reactor superheating: estimation of the critical constant. Zbl 1184.82020Maslov, V. P.; Molotkov, I. A. 2 2007 Analytic methods in the theory of nonlinear waves. (Analiticheskie metody v teorii nelinejnykh voln.) Zbl 1065.76001Molotkov, I. A. 4 2003 Asymptotic solutions to the Hartree equation localized in a small neighborhood of a curve as \(h\to 0\). Zbl 0900.76794Vakulenko, S. A.; Maslov, V. P.; Molotkov, I. A.; Shafarevich, A. I. 4 1995 Autowave propagation for general reaction diffusion systems. Zbl 0799.35121Molotkov, I. A.; Vakulenko, S. A. 2 1993 Waves in a layered nonlinear medium. Zbl 1268.78018Vakulenko, S. A.; Molotkov, I. A. 10 1987 Influence of the variable depth and of the nonlinear and dispersion second order terms on the propagation of surface gravitational waves. Zbl 0599.76027Egorov, Yu. A.; Molotkov, I. A. 1 1986 The space-time ray method. Linear and nonlinear waves. (Prostranstvenno-vremennoj luchevoj metod. Linejnye i nelinejnye volny.) Zbl 0678.35002Babbich, V. M.; Buldyrev, V. S.; Molotkov, I. A. 32 1985 Stationary wave beams in a strongly nonlinear three-dimensional inhomogeneous medium. Zbl 0627.76095Vakulenko, S. A.; Molotkov, I. A. 6 1985 Evolution of a wave beam in an inhomogeneous and strongly nonlinear medium. Zbl 1268.35129Molotkov, I. A.; Vakulenko, S. A. 2 1985 Local resonance interaction of normal modes in connected waveguides. Zbl 0512.76076Molotkov, I. A.; Starkov, A. S. 2 1982 Nonlinear longitudinal waves in inhomogeneous rods. Zbl 0486.73056Molotkov, I. A.; Vakulenko, S. A. 5 1980 Unstationary modes in a thin and curved wave guide of variable width. Zbl 0425.76061Molotkov, I. A.; Plachenov, A. B. 1 1979 Local degeneration of waves in thin waveguide. Zbl 0424.76064Molotkov, I. A.; Starkov, A. S. 5 1978 Mathematical methods in the theory of elastic waves. Zbl 0496.73018Babich, V. M.; Molotkov, I. A. 3 1977 Surface waves confined to a thin low-velocity layer. Zbl 0376.73022Molotkov, I. A.; Sardarov, S. S. 2 1976 Surface-wave excitation in connection with diffraction at an impedance contour. Zbl 0239.35023Molotkov, I. A. 1 1972 Excitation of the Rayleigh and Stoneley waves. Zbl 0259.73015Molotkov, I. A. 1 1970 High frequency oscillations of a thin elastic layer of variable thickness. Zbl 0167.53701Molotkov, I. A.; Ozerov, D. K. 1 1967 Nonstationary distribution of waves in the region of the geometric shadow in an inhomogeneous medium. Zbl 0101.43503Molotkov, I. A. 1 1961 all cited Publications top 5 cited Publications all top 5 Cited by 58 Authors 15 Maslov, Viktor Pavlovich 14 Molotkov, I. A. 7 Babich, Vasiliĭ Mikhaĭlovich 5 Dobrokhotov, Sergei Yurievich 5 Shafarevich, Andreĭ Igorevich 5 Starkov, Alexander S. 5 Tirozzi, Brunello 3 Lukyanov, Valery V. 3 Lyalinov, Mikhail Anatolievich 3 Mikhasev, Gennadiĭ Ivanovich 2 Buldyrev, V. S. 2 Gordon, Peter V. 2 Kirpichnikova, N. Ya. 1 Abramian, Andrei K. 1 Anikin, A. Yu. 1 Belishev, Mikhail Igorevitch 1 Bessonov, Nicholas M. 1 Bianchi, Daniela 1 Bisyarin, M. A. 1 Ekhlakov, Alexander 1 Glushkov, Evgeniĭ Viktorovich 1 Glushkova, Natalia V. 1 Golubeva, A. S. 1 Grigor’eva, N. S. 1 Kalyakin, Leonid Anatol’evich 1 Kaplunov, Julius D. 1 Karasev, Mikhail Vladimirovich 1 Klevin, A. I. 1 Kopeĭkin, V. F. 1 Krauklis, Pavel Vladimirovich 1 Kravchenko, Vladislav V. 1 Kurylëv, Yaroslav Vadimovich 1 Li, Chzi 1 Lobanov, E. V. 1 Maslova, T. V. 1 Meleshko, V’yacheslav Volodymyrovych 1 Molotkov, Lev Anatolievich 1 Novoselova, S. M. 1 Oviedo-Galdeano, Héctor 1 Ozerov, D. K. 1 Perel, Maria V. 1 Plachenov, A. B. 1 Popov, Mikhail Mikhailovich 1 Poruchikov, V. B. 1 Pozharskiĭ, A. A. 1 Rabinovich, Vladimir Samuilovich 1 Rogerson, Graham A. 1 Samsonov, Aleksandr Mikhaĭlovich 1 Sardarov, S. S. 1 Shapar, Elena 1 Sinitsyn, S. O. 1 Sivashinsky, Gregory I. 1 Sokolov, Andreĭ Vladimirovich 1 Sokurinskaya, E. V. 1 Vargas, Carlos A. 1 Yanson, Z. A. 1 Zavorokhin, German L. 1 Zinoviev, Ann all top 5 Cited in 18 Serials 16 Russian Journal of Mathematical Physics 15 Journal of Mathematical Sciences (New York) 11 Journal of Soviet Mathematics 9 Wave Motion 7 Theoretical and Mathematical Physics 5 Journal of Applied Mathematics and Mechanics 5 Mathematical Notes 3 Prikladnaya Matematika i Mekhanika 3 Doklady Mathematics 1 Computers & Mathematics with Applications 1 Soviet Applied Mechanics 1 Functional Analysis and its Applications 1 Applied Mathematics Letters 1 International Applied Mechanics 1 Journal of Applied Mechanics and Technical Physics 1 Doklady Physics 1 PMM, Journal of Applied Mathematics and Mechanics 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 20 Fields 33 Partial differential equations (35-XX) 24 Fluid mechanics (76-XX) 22 Mechanics of deformable solids (74-XX) 15 Statistical mechanics, structure of matter (82-XX) 11 Optics, electromagnetic theory (78-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year