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Comment on "Solution of Nonlinear Equations"

IEEE Transactions on Computers, 1969
Summary: A recently proposed approach to the solution of nonlinear equations [\textit{M. C. Y. Kuo}, IEEE Trans. Comput. 17, 897--898 (1968; Zbl 0167.45204)]] gives the same computing formulas as the generalized secant method. The effect of rounding-off errors is shown to be less than might be feared.
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The nonlinear wave equation as a Liénard equation

Funkcialaj Ekvacioj, 1991
In the study of the asymptotic behavior of solutions to the equation \[ u_{tt}+f(u)u_t+g(u)=0, \] where \(f,g\in C^0\), \(f(u)>0\) and \(ug(u)>0\) for \(u\neq 0\), much of the investigation was carried out by means of Lyapunov's direct method and the natural Lyapunov function for the equation is \(V_1(t):= 2\int_0^u g(s)\,ds+u_t^2\).
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On Popovski’s method for nonlinear equations

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the nonlinear equations of thermo-electroelasticity

International Journal of Engineering Science, 1971
Abstract The differential equations and boundary conditions describing the behavior of an electrically polarizable, finitely deformable, heat conducting continuum in interaction with the electric field are derived by means of a systematic application of the laws of continuum physics to a macroscopic model consisting of an electronic charge continuum ...
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Nonlinear Schrödinger Equations

2006
M. J. ABLOWITZ, PRINARI, Barbara
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Efficient Quantum Algorithm for Dissipative Nonlinear Differential Equations

Proceedings of the National Academy of Sciences of the United States of America, 2021
Hari Krovi, Nuno Loureiro, Jin-Peng Liu
exaly  

Nonlinear Integral Equations

The Annals of Mathematics, 1955
Cameron, R. H., Shapiro, J. M.
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One Method for Finding Exact Solutions of Nonlinear Differential Equations

Communications in Nonlinear Science and Numerical Simulation, 2012
Nikolay A Kudryashov
exaly  

Highly Dispersive Solitary Wave Solutions of Perturbed Nonlinear Schrödinger Equations

Applied Mathematics and Computation, 2020
Nikolay A Kudryashov
exaly  

A Connection Between Nonlinear Evolution Equations and Ordinary Differential Equations of P‐Type. I

Journal of Mathematical Physics, 1980
M J Ablowitz, A Ramani, H Segur
exaly  

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