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Nonlinear Evolution Equations

1995
Holder estimates of solutions to initial-boundary value problems for parabolic equations of nondivergent form with Wentzel boundary condition by D. E. Apushkinskaya and A. I. Nazarov Reverse Holder inequalities with boundary integrals and $L_p$-estimates for solutions of nonlinear elliptic and parabolic boundary-value problems by A. A.
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`Solitoff' Solutions of Nonlinear Evolution Equations

Journal of the Physical Society of Japan, 1996
Summary: Dromions are exact, localized solutions of \((2+1)\) dimensional evolution equations and decay exponentially in all directions. `Solitoffs' of the Davey-Stewartson equations constitute an intermediate state between dromions and plane solitons, since they decay exponentially in all directions except a preferred one. Here solitoffs are rederived
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Evolution equation for nonlinear Scholte waves

IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1998
The evolution equations for nonlinear Scholte waves (finite amplitude elastic waves propagating along liquid/solid interface), which account for the second order nonlinearity of a liquid, are derived for the first time. For mathematical simplicity the nonlinearity of the solid, which influence is expected to be weak in the case of weak localization of ...
V E, Gusev, W, Lauriks, J, Thoen
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Dissipative Nonlinear Evolution Equations and Chaos

Studies in Applied Mathematics, 1998
In this article we have studied the nonlinear interaction between ellipticity and dissipation in a set of model equations (1.1) and established the relation between this interaction and chaos. In addition to theoretical investigations, extensive numerical simulations with these equations have been made, and different routes to chaos have been found ...
Hsieh, Dinyu   +3 more
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On Nonlinear Evolution Equations for Occupancies

Journal of Mathematical Sciences, 2001
For any natural number \(N\) subspaces of the direct product of \(N\) copies of a discrete probability space \(\Omega_0\), factored with respect to the group of permutation of indices, are defined by means of arbitrary linear constraints on occupancies. The direct sum of such quotient products over \(N\in \{1,2,\dots\}\) is considered.
Chebotarev, A. M., Maslov, V. P.
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Nonlinear Evolution Equations—Continuous and Discrete

SIAM Review, 1977
An important recent advance in nonlinear wave motion has been the discovery of a method of solution to a class of nonlinear evolution equations. The technique relies on a relation between the evolution equation, and an associated linear eigenvalue (scattering) problem. The initial value solution is found by the method of inverse scattering.
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Wazewski’s method for nonlinear evolution equations

Mathematical Notes, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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