Results 31 to 40 of about 2,627,124 (242)
A Two-Grid Finite Element Method for a Second-Order Nonlinear Hyperbolic Equation
, 2014 We present a two-grid finite element scheme for the approximation of a second-order nonlinear hyperbolic equation in two space dimensions. In the two-grid scheme, the full nonlinear problem is solved only on a coarse grid of size . The nonlinearities are
Chuanjun Chen, Wei Liu, Xin Zhao
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Journal of Low Frequency Noise, Vibration and Active Control, 2019 This paper applies the quasi hyperbolic function expansion method and the modified extended tanh-function method to exactly solve the nonlinear vibrating string equation and the elastic rod equation.
Yi Tian
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Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
International Journal of Mathematics and Mathematical Sciences, 1989 The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
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The optical soliton solutions of nonlinear Schrödinger equation with quintic non-Kerr nonlinear term
Results in Physics, 2023 The purpose of this paper is to study the optical soliton solutions of nonlinear Schrödinger equation with quintic non-Kerr nonlinear term describing the nonlinear wave state of optical solitons, which is a noteworthy and important model in optical fiber
Kun Zhang, Tianyong Han
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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
Abstract and Applied Analysis, 2013 The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
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Analytical solutions of the strain wave equation for an elastic rod with finite deformation [PDF]
AIP AdvancesThis study determines the exact solutions for a nonlinear strain wave equation, which characterizes wave propagation within circular elastic rods under finite deformation.
T. M. Sekhesa +2 more
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Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations
Abstract and Applied Analysis, 2013 This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation. First, through some transformation we convert VC-mKdV equation into the constant coefficient mKdV equation.
Xiaoxiao Zheng, Yadong Shang, Yong Huang
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The limit of vanishing viscosity for doubly nonlinear parabolic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We show that solutions of the doubly nonlinear parabolic equation \begin{equation*} \frac{\partial b(u)}{\partial t} - \epsilon \operatorname{div}(a(\nabla u)) + \operatorname{div}(f(u)) = g \end{equation*} converge in the limit $\epsilon ...
Ales Matas, Jochen Merker
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The attractor for a nonlinear hyperbolic equation in the unbounded domain
, 2001 We study the long-time behavior of solutions for damped nonlinear hyperbolic equations in the unbounded domains. It is proved that under the natural assumptions these equations possess the locally compact attractors which may have the infinite ...
S. Zelik
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A Class of Nonlinear Hyperbolic Equations
Demonstratio Mathematica, 1989 Let \(\Phi:[0,T] \times X \to(-\infty,\infty)\) be measurable with respect to the \(\sigma\)-algebra generated in \([0,T] \times X\) by products of Lebesgue sets in \([0,T]\) and Borel sets in \(X\); \(\Phi (t,\cdot)\) is lower semicontinuous and convex, and \(\partial \Phi\) denotes the subdifferential of \(\Phi (t,\cdot)\).
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