Results 31 to 40 of about 77,207 (315)
A Nonlinear Wave Equation with Jumping Nonlinearity
Discrete and Continuous Dynamical Systems, 1998 The authors study multiplicity of solutions \(u(x,t)\) for a piecewise linear perturbation of the one-dimensional wave operator \(u_{tt}-u_{xx}\) under Dirichlet boundary condition on the interval \((-{\pi\over 2}, {\pi\over 2})\) and periodic condition on \(t\), that is \[ \begin{cases} u_{tt}-u_{xx}+g (u)=f(x,t) \text{ in }\left(-{\pi\over 2}, {\pi ...
Choi, Q-Heung, Jung, Tacksun
openaire +2 more sources
Nonlinear Waves in Rods and Beams of Power-Law Materials
Journal of Applied Mathematics, 2017 Some novel traveling waves and special solutions to the 1D nonlinear dynamic equations of rod and beam of power-law materials are found in closed forms. The traveling solutions represent waves of high elevation that propagates without change of forms in ...
Dongming Wei, Piotr Skrzypacz, Xijun Yu
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Modulational instability of Rossby and drift waves and generation of zonal jets [PDF]
, 2010 We study the modulational instability of geophysical Rossby and plasma drill waves within the Charney-Hasegawa-Mima (CH M) model both theoretically, using truncated (four-mode and three-mode) models, and numerically, using direct simulations of CHM ...
Connaughton, Colm +3 more
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Journal of Ocean Engineering and Science, 2017 In this paper, we utilize the exp(−φ(ξ))-expansion method to find exact and solitary wave solutions of the generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony nonlinear evolution equation. The generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony nonlinear
Aly R. Seadawy +2 more
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Autoresonant excitation of space-time quasicrystals in plasma
Physical Review Research, 2022 We demonstrate theoretically and numerically that a warm fluid model of a plasma supports space-time quasicrystalline structures. These structures are highly nonlinear, two-phase, ion acoustic waves that are excited autoresonantly when the plasma is ...
Vadim R. Munirov +2 more
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Envelope solitons in weakly dissipative dusty plasma
Kuwait Journal of Science, 2023 A hydrodynamic model is applied to characterize the linear and nonlinear characteristics of collisional dust acoustic waves of degenerate inertialess ions and electrons.
Nabi Gul +3 more
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The modified Korteweg - de Vries equation in the theory of large - amplitude internal waves [PDF]
Nonlinear Processes in Geophysics, 1997 The propagation of large- amplitude internal waves in the ocean is studied here for the case when the nonlinear effects are of cubic order, leading to the modified Korteweg - de Vries equation.
R. Grimshaw, E. Pelinovsky, T. Talipova
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Production of small-scale Alfvén waves by ionospheric depletion, nonlinear magnetosphere-ionosphere coupling and phase mixing [PDF]
, 2013 The authors acknowledge the International Space Science Institute (Switzerland) for funding the program that inspired this work. AJBR is grateful to the Royal Commission for the Exhibition of 1851 for present support and acknowledges an STFC studentship ...
Russell, A. J.B. +9 more
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Nonlinear Processes in Geophysics, 1999 A nonlinear wave, in general, is equivalent to a nonlinear dynamical system, which exhibits the phenomena of chaos. By means of techniques of nonlinear dynamical systems, we have investigated the conditions under which nonlinear Alfvén waves and lower-
B. Buti
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Advances in Mathematical Physics, 2021 Using the bifurcation method of dynamical systems, we investigate the nonlinear waves and their limit properties for the generalized KdV-mKdV-like equation.
Yiren Chen, Shaoyong Li
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