Exponentially accurate solution tracking for nonlinear ODEs, the higher order Stokes phenomenon and double transseries resummation [PDF]
, 2012 We demonstrate the conjunction of new exponential-asymptotic effects in the context of a second order nonlinear ordinary differential equation with a small parameter.
Olde Daalhuis, Adri +3 more
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Nonlinear instability in generalized nonlinear phase diffusion equation
, 2003 High-order versions of truncated generalized nonlinear phase diffusion equation of Kuramoto are analyzed. The main common feature of the equations is nonlinear internal energy supply. Numerical solutions are presented for some specific values of equation
Strunin, Dmitry V.
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Controllability of nonlinear stochastic neutral fractional dynamical systems [PDF]
, 2017 In this paper, we obtain an equivalent nonlinear integral equation to the stochastic neutral fractional system with bounded operator. Using the integral equation, the sufficient conditions for ensuring the complete controllability of the stochastic ...
Trujillo, Juan J. J. +2 more
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Terminal value problems for first and second order nonlinear equations on time scales
Electronic Journal of Differential Equations, 2008 In this paper we examine "terminal" value problems for dynamic equations on time scales - that is, a dynamic equation whose solutions are asymptotic at infinity.
Christopher C. Tisdell, Roman Hilscher
doaj
Infinitely Many Elliptic Solutions to a Simple Equation and Applications
Abstract and Applied Analysis, 2013 Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems.
Long Wei, Yang Wang
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Exploring nonlinear drift waves: Limiting cases and dynamics [PDF]
AIP AdvancesA general equation for drift waves is derived, incorporating both nonlinear electron density perturbation and ion vorticity effects. It is emphasized that the well-known Hasegawa–Mima (HM) equation for drift waves [A. Hasegawa and K. Mima, Phys.
H. Saleem
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An Optimal Derivative-Free Ostrowski’s Scheme for Multiple Roots of Nonlinear Equations
Mathematics, 2020 Finding higher-order optimal derivative-free methods for multiple roots (m≥2) of nonlinear expressions is one of the most fascinating and difficult problems in the area of numerical analysis and Computational mathematics.
Ramandeep Behl +3 more
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ON A KIND OF NONLINEAR DIOPHANTINE EQUATION [PDF]
JP Journal of Algebra, Number Theory and Applications, 2018 12 ...
openaire +3 more sources
Journal of Mathematics, 2013 It is well known that different types of exact solutions of an auxiliary equation produce new types of exact travelling wave solutions to nonlinear equations.
Zehra Pınar, Turgut Öziş
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Efficient high-order finite difference methods for nonlinear Klein–Gordon equations. I: Variants of the phi-four model and the form-I of the nonlinear Klein–Gordon equation [PDF]
, 2015 In this paper, the problem of solving some nonlinear Klein–Gordon equations (KGEs) is considered. Here, we derive different fourth- and sixth-order explicit and implicit algorithms to solve the phi-four equation and the form-I of the nonlinear Klein ...
Queiruga-Dios, Araceli +3 more
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