Wave equations for propagation in nonlinear media
A Fresh View for Maxwell’s Equations and Electromagnetic Wave Propagation
... investigation, wave equations are reexamined by introducing the constants of ...that wave propagation needs an excitable, continuous medium where the energy can be stored and ...
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Solition solutions of a few nonlinear wave equations in engineering sciences
... Introduction Nonlinear wave equations play a very important role in several engineering disciplines and dictate various features in daily lives ...These equations form the essential fabric in ...
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Linear and nonlinear shear wave propagation in viscoelastic media
... The dependence on layer height happens to be the simplest to analyze and identify the nature of the peaks and valleys versus height. We then extend the results to all other parameters by numerical evaluation of the ...
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Nonlinear Acoustic Wave. Propagation with Diffusion. and Relaxation
... Burgers’ equation is one of the few non-linear partial differential equations that can be solved exactly for arbitrary initial conditions. This is done using Cole-Hopf transformation as we illustrated earlier in ...
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Ultrasonic wave propagation in heterogenous media
... Figure 7: Images of weld using the TFM method, r is the radius of the side drilled hole detection threshold. These time-frequency pairs and corre- sponding singular values are used in the back propagation for the ...
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Nonlinear physics of electrical wave propagation in the heart: a review
... electrical wave propagation in the ...of nonlinear dynamics in excitable media; on the other hand, we would like to provide a presentation of the basics of cardiac electrical wave ...
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Surface wave propagation in laterally varying media
... T i b e ta n P lateau . Ruzaikan et al. (1977) noted t h a t e a rth q u ak es in th e easte rn Tien Shan rad ia te clear Lg phases to s tatio n NSB whereas at T L G th e phase is often very weak. Figure 7a displays the ...
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Invariant measures for stochastic nonlinear beam and wave equations
... In this paper, we aim at showing existence of an invariant (probability) measure for a stochastic extensible beam equation and for damped stochastic wave equations with polynomial nonlinearities (both on R ...
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On the existence of solutions of strongly damped nonlinear wave equations
... Ikehata, On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms , J. Yamada, On global solutions of some degenerate quasilinear hyper- [r] ...
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Controlling Wave Propagation through Nonlinear Engineered Granular Systems
... that wave splitting in the network is here the dominant ...sufficient propagation distance to separate and arrive at different times at the next junction since the solitary wave velocity is a slowly ...
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Simple Waves characterizing wave propagation in a nonlinear elastic medium
... second-order equations in two- dimensional case under new notations, these Simple Waves are described here in the case of an isotropic elastic medium as ...
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Electromagnetic wave propagation in media with fractional dielectric response
... the propagation of electromagnetic waves in dispersive media with a dielectric response given by the Havriliak-Negami ...Maxwell’s equations in material media we obtain a wave equation ...
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Global attractors for nonlinear wave equations with linear dissipative terms
... is bounded and u is subjected to suitable boundary conditions, the general result is that the dynamical system associated with the problem possesses a global attractor in the nat- ural energy space H () × L () if ...
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CiteSeerX — Newton's Method And Periodic Solutions Of Nonlinear Wave Equations
... rst step in an existence theorem for 2.1 with periodic or Dirichlet boundary conditions we ask for certain conditions of nonresonance among the linear frequencies f!j g1 j =1.. This does[r] ...
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Global solutions to a class of nonlinear damped wave operator equations
... 8. Nishihara, KJ, Zhao, HJ: Existence and nonexistence of time-global solutions to damped wave equation on half-time. Nonlinear Anal. 61, 931 – 960 (2005) 9. Hayashi, N, Kaikina, EI, Naumkin, PI: Damped ...
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PT-symmetry breaking in complex nonlinear wave equations and their deformations
... E-mail: [email protected], [email protected], [email protected] Abstract: We investigate complex versions of the Korteweg-deVries equations and an Ito type nonlinear system with two ...
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Dark soliton and periodic wave solutions of nonlinear evolution equations
... of nonlinear partial differential equations have been established and developed, which led to one of the most exciting advances of nonlinear science and theoretical ...for nonlinear models is ...
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Splitting methods for time‐independent wave propagation in random media
... time‐independent wave propagation in random media Abstract Time‐independent wave propagation is treated in media where the index of refraction contains a random component, but ...
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Semiclassical methods for high frequency wave propagation in periodic media
... We will study high-frequency wave propagation in periodic media. A typical example is given by the Schr¨ odinger equation in the semiclassical regime with a highly oscillatory periodic potential and ...
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Numerical Simulation Of Ultrasonic Wave Propagation In Elastically Anisotropic Media
... elastic wave propagation in homogeneous elastically anisotropic media, based on the general finite element approach, is used to help this ...ultrasonic wave, which is launched from a ...
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