Yazar "Amirov, Sherif" seçeneğine göre listele

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    ANALYTICAL SOLITARY WAVE SOLUTIONS FOR THE NONLINEAR ANALOGUES OF THE BOUSSINESQ AND SIXTH-ORDER MODIFIED BOUSSINESQ EQUATIONS
    (Wilmington Scientific Publisher, Llc, 2017) Amirov, Sherif; Anutgan, Mustafa
    Using tanh function and polynomial function methods, analytical solitary wave solutions have been found for the nonlinear analogues of Boussinesq and sixth-order modified Boussinesq equations where the nonlinearity is in the time-derivative term.
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    BOUNDARY VALUE PROBLEM FOR ONE EVOLUTION EQUATION
    (Indian Nat Sci Acad, 2017) Amirov, Sherif
    The aim of the paper is to investigate the boundary value problem of the evolution equation Lu - K (x,t)(ut) - Delta u + a(x,t) u - f(x,t). The characteristic property of this type of equations is the failure of the Petrovski's A condition when coefficients are constant [1]. In this case, Cauchy problem is incorrect in the sense of Hadamard. Hence in this paper, the space, guaranteeing the correctness of the boundary value problem in the sense of Hadamard, is selected by adding some additional conditions to the coefficients of the equation.
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    On solvability of the first initial-boundary value problem for quasilinear pseudoparabolic equations
    (Elsevier Science Inc, 2014) Amirov, Sherif
    In the paper, the solvability of the first initial-boundary value problem for a quasilinear pseudoparabolic equation u(t) - Delta u(t) - partial derivative/partial derivative x(i) (b(ij)(x, t, u)u(xj)) + c(i)(x, t, u)u(xi) + v(x, t, u) = f(x, t) with increasing with respect to zeta functions b(ij)(x, t, zeta), c(i)(x, t, zeta) and v(x, t, zeta) was investigated. The existence and uniqueness of regular solutions are proven. (C) 2014 Elsevier Inc. All rights reserved.