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A deep neural network model for heat transfer in darcy-forchheimer hybrid nanofluid flow with activation energy. [PDF]
Ayman-Mursaleen M +4 more
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Optical wave propagation in magneto-optic waveguides with generalized anti-cubic model. [PDF]
Baber MZ +4 more
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Second order nonlinear differential equations equivalent to linear differential equations
Kocic, V.Lj., Keckic, J.D.
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Method for finding highly dispersive optical solitons of nonlinear differential equations
Optik, 2020A method for finding solitary wave solutions to nonlinear differential equations is presented. A generalization for the logistic function to obtain a solitary wave solution is introduced. Properties of this basic function are discussed.
N. Kudryashov
semanticscholar +3 more sources
Chaos, 2019
The main goal of this work is to find the solutions of linear and nonlinear fractional differential equations with the Mittag-Leffler nonsingular kernel. An accurate numerical method to search this problem has been constructed.
E. Akgül
semanticscholar +3 more sources
The main goal of this work is to find the solutions of linear and nonlinear fractional differential equations with the Mittag-Leffler nonsingular kernel. An accurate numerical method to search this problem has been constructed.
E. Akgül
semanticscholar +3 more sources
Nonlinear differential−difference equations
Journal of Mathematical Physics, 1975A method is presented which enables one to obtain and solve certain classes of nonlinear differential−difference equations. The introduction of a new discrete eigenvalue problem allows the exact solution of the self−dual network equations to be found by inverse scattering.
Ablowitz, M. J., Ladik, F.
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Nonlinear Differential Equations Equivalent to Solvable Nonlinear Equations
SIAM Journal on Mathematical Analysis, 1976This paper shows in a simple and direct way the equivalence of the nonlinear differential equation $y'' + r(x)y' + q(x)Z(y) = A(y)y'^2 + g(x)z(y)[u(y)]^a $, $Z(y) = z(y)u(y)$, to the linear equation $L_1 u = g(x)$, $a = 0$, or to the nonlinear equation $L_1 u = g(x)u^a $, $a \ne 0$, where $L_1 = {{d^2 } / {dx^2 }} + r(x){d / {dx}} + q(x)$.
Klamkin, Murray S., Reid, James L.
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