Results 11 to 20 of about 120,268,381 (251)

Observations on the basic (G′/G)-expansion method for finding solutions to nonlinear evolution equations [PDF]

, 2010
The extended tanh-function expansion method for finding solutions to nonlinear evolution equations delivers solutions in a straightforward manner and in a neat and helpful form.
Parkes, E.J.
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Observations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations [PDF]

, 2010
The 'tanh-coth expansion method' for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature. It is a natural extension to the basic tanh-function expansion method which was developed in the
Parkes, E.J.
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On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]

, 2015
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian, Moro, A., Antonio Moro, Klein, C, Moro, Anotnio, Grava, T., Dubrovin, Boris, Boris Dubrovin, Dubrovin, B., Moro, Antonio, Tamara Grava, Klein, C., Grava, Tamara, Christian Klein   +13 more
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On the almost sure running maxima of solutions of affine stochastic functional differential equations [PDF]

, 2010
This paper studies the large fluctuations of solutions of scalar and finite-dimensional affine stochastic functional differential equations with finite memory as well as related nonlinear equations.
Wu, H., Appleby, John A.D., Mao, Xuerong
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Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]

, 2004
Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S, J. Sayers, Jack Sayers, Sayers, J., J. Wang, Sayers, Jack, Sanders, J.A., Hereman, Willy, Jing Ping Wang, J. Sanders, W. Hereman, Willy Hereman, Wang, J.P., Wang, Jing Ping, Sanders, Jan A., Hereman, W.   +15 more
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Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this article we consider nonlinear differential equations with $\psi$-exponential and $\psi$-ordinary dichotomous linear part in a Banach space. By the help of the fixed point principle of Banach sufficient conditions are found for the existence of ...
Atanaska Georgieva, Hristo Kiskinov, Stepan Kostadinov, Andrey Zahariev   +3 more
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Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$

Boundary Value Problems, 2020
Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, introduced by Wang in (J. Differ. Equ. 253:1544–1583, 2012),
Xiaobin Yao
doaj   +1 more source

On Nonlinear Vekua Type Equations [PDF]

, 2006
Nonlinear Vekua-Bers type differential equations are studied on the base of certain methods of nonlinear analysis.
S. V. Rogosin, Rogosin, S. V.
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Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space

International Journal of Differential Equations, 2015
We consider nonlinear impulsive differential equations with ψ-exponential and ψ-ordinary dichotomous linear part in a Banach space. By the help of Banach’s fixed-point principle sufficient conditions are found for the existence of ψ-bounded solutions of
Hristo Kiskinov, Andrey Zahariev
doaj   +1 more source

An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group

Boundary Value Problems, 2021
The aim of this paper is to study the oscillation of solutions of the nonlinear degenerate elliptic equation in the Heisenberg group H n $H^{n}$ . We first derive a critical inequality in H n $H^{n}$ . Based on it, we establish a Picone-type differential
Duan Wu, Pengcheng Niu
doaj   +1 more source