Results 271 to 280 of about 987,859 (318)

Nonlinear evolution equations and nonlinear ergodic theorems

Nonlinear Analysis: Theory, Methods & Applications, 1977
Publisher Summary This chapter discusses nonlinear evolution equations and nonlinear ergodic theorems. It discusses certain aspects of the asymptotic behavior of generalized solutions of nonlinear evolution equations and of nonlinear nonexpansive semigroups in Banach spaces.
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Nonlinear-Evolution Equations of Physical Significance

Physical Review Letters, 1973
Summary: We present the inverse scattering method which provides a means of solution of the initial-value problem for a broad class of nonlinear evolution equations. Special cases include the sine-Gordon equation, the sinh-Gordon equation, the Benney-Newell equation, the Korteweg-de Vries equation, the modified Korteweg-de Vries equation, and ...
Ablowitz, Mark J., Kaup, David J., Newell, Alan C., Segur, Harvey   +3 more
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A direct symbolic computation of center-controlled rogue waves to a new Painlevé-integrable (3+1)-D generalized nonlinear evolution equation in plasmas

Nonlinear dynamics, 2023
S Kumar, B. Mohan
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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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Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves

Nonlinear dynamics, 2022
Fei-Yan Liu, Yi Gao, Xin Yu, Cui-Cui Ding   +3 more
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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, Tang, Shaoqiang, Wang, Xiao Ping, Wu, Li Xin   +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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Higher-order rogue waves and dispersive solitons of a novel P-type (3+1)-D evolution equation in soliton theory and nonlinear waves

Nonlinear dynamics, 2023
B. Mohan, S Kumar, Raj Kumar
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