Results 21 to 30 of about 10,797 (309)
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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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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Lagrangian Averaging, Nonlinear Waves, and Shock Regularization [PDF]
, 2005 In this thesis, we explore various models for the flow of a compressible fluid as well as model equations for shock formation, one of the main features of compressible fluid flows.
Bhat, Harish Subrahmanya
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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 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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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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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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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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Stabilisation and destabilisation of nonlinear differential equations by noise
, 2008 This paper considers the stabilisation and destabilisa- tion by a Brownian noise perturbation which preserves the equilibrium of the ordinary dierential equation x0(t) = f(x(t)).
Mao, X. +5 more
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Relative entropy in diffusive relaxation [PDF]
, 2012 We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuum.
Tzavaras, Athanasios E. +1 more
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