Results 31 to 40 of about 7,549 (163)
Algebraic structure of space and field
Electronic Journal of Qualitative Theory of Differential Equations, 2001 We investigate an algebraic structure of the space of solutions of autonomous nonlinear differential equations of certain type. It is shown that for these equations infinitely many binary algebraic laws of addition of solutions exist.
Z. Z. Khukhunashvili +1 more
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Nonlinear Schr�dinger equations and simple Lie algebras
Communications in Mathematical Physics, 1983 This paper deals with a generalisation and classification of the nonlinear Schrödinger (NLS) equation. A system of integrable, generalised NLS equations is associated with each Hermitian symmetric space. Each of these NLS equations is a reduction of a generalised second order ''N-wave'' equation associated with a reductive homogeneous space which is no
Fordy, Allan P., Kulish, Peter P.
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A numerical technique based on operational matrices for solving nonlinear integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 This paper presents a computational method for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear fractional order integro-differential equations.
A. Golbabai
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An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]
Iranian Journal of Numerical Analysis and OptimizationThis study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari +2 more
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A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation [PDF]
Journal of Hyperstructures, 2013 This paper presents a computational technique for the solution of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations. A hybrid of block-pulse functions and the second kind Chebyshev polynomials (hereafter called as HBC) is used
F. Mirzaee, Elham Hadadiyan
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Journal of Low Frequency Noise, Vibration and Active ControlEarlier, an approximation technique was presented for solving strong nonlinear oscillator equations. Due to arising algebraic complexities, the method fails to determine suitable solutions of some nonlinear oscillators such as quadratic oscillators, the ...
Md Ashraful Huq, M Kamrul Hasan, MS Alam
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Results in Physics, 2019 In this work, we study the procedure involved in applying the extended (G′(ϕ)G(ϕ))-expansion method in solving nonlinear partial differential equations.
Dianchen Lu, Aly Seadawy, David Yaro
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MATEC Web of Conferences, 2018 This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear ...
Leibov Roman
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
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Approximate Time-Fractional Differential Equations
Discrete Dynamics in Nature and SocietyThis study introduces an indirect approach to find the solutions of the fractional Bessel differential equation using fractional Bernoulli functions and Caputo’s fractional derivative.
Saber Tavan +3 more
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