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Comment on "Solution of Nonlinear Equations"
IEEE Transactions on Computers, 1969Summary: 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, 1991In 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, 2008zbMATH 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, 1971Abstract 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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Efficient Quantum Algorithm for Dissipative Nonlinear Differential Equations
Proceedings of the National Academy of Sciences of the United States of America, 2021Hari Krovi, Nuno Loureiro, Jin-Peng Liu
exaly
One Method for Finding Exact Solutions of Nonlinear Differential Equations
Communications in Nonlinear Science and Numerical Simulation, 2012Nikolay A Kudryashov
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Highly Dispersive Solitary Wave Solutions of Perturbed Nonlinear Schrödinger Equations
Applied Mathematics and Computation, 2020Nikolay A Kudryashov
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A Connection Between Nonlinear Evolution Equations and Ordinary Differential Equations of P‐Type. I
Journal of Mathematical Physics, 1980M J Ablowitz, A Ramani, H Segur
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