Non-dispersive Waves and Evolution Equations
Model Equations for Waves in Nonlinear Dispersive Systems
... It is noteworthy that nonlinear, dispersive and dissipative effects are generally small corrections to the basic one-way propagator u t+ux=09 which is just a factor, governing propaga[r] ...
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Non-linear dispersive waves with a small dissipation
... detail in these investigations ha s perh aps tended to obscure the fundamental methods and ideas which were to be illustra- ted. Unquestionab ly th e most important [r] ...
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Dispersive MHD waves and alfvenons in charge non-neutral plasmas
... Abstract. Dispersive properties of linear and nonlin- ear MHD waves, including shear, kinetic, electron inertial Alfv´en, and slow and fast magnetosonic waves are analyzed using both analytical ...
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Dispersive Traveling Wave Solution for Non Linear Waves Dynamical Models
... In waves dynamics, Generalized Kortewegde Vries (gKdV) equation and Sa- wada-Kotera equation (Ske) have been used to study nonlinear acoustic waves, an inharmonic lattice and Alfven waves in a ...
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Dispersive properties of Schrodinger equations
... the dispersive estimate for the charge transfer ...the dispersive estimates for the derivatives of the evolutions of the charge transfer models are proved by further investigating the argument in Sec- tion ...
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Evolution equations in non-commutative probability
... These operators X t act on a certain C ∗ -correspondence known as a Fock space. While the term “Fock space” does not a have a precise definition, it refers to a direct sum of tensor powers of some basic building block, ...
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Traveling waves for non-local delayed diffusion equations via auxiliary equations
... In Section 3, we firstly construct two auxiliary reaction–diffusion equations with quasi-monotonicity and then prove our main result by using the results obtained in Section 2 and the Sc[r] ...
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Dispersive shock waves in partially ionised plasmas
... In these environments temperatures are not high enough to ensure a full ionisation of the plasma, meaning that at all times various species of par- ticles can co-exist, such as ions, neutrals and electrons. Strictly ...
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Mathematical and numerical modelling of dispersive water waves
... given non-hydrostatic pressure systems are fully ...step non-hydrostatic terms are taken into account and approximated employing central finite ...and non-staggered grids for the ...
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A new non polynomial spline method for solution of linear and non linear third order dispersive equations
... Abstract In this paper, a new three-level implicit method is developed to solve linear and non-linear third order dispersive partial differential equations. The presented method is obtained by using ...
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Asymptotic behavior of solutions to a class of fourth order nonlinear evolution equations with dispersive and dissipative terms
... Full list of author information is available at the end of the article Abstract We study the long time asymptotic behavior of solutions to a class of fourth-order nonlinear evolution equations with ...
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On New Dispersive SH Waves Propagating in Piezoelectromagnetic Plate
... electromagnetic waves is approximately five orders larger than that of the acoustic ...equilibrium equations can be then written using the differential forms of the corresponding Maxwell equations, ...
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A fluid description for Landau damping of dispersive MHD waves
... dynamical equations for the pressures and the heat ...Alfv´en waves invalidates the assumption that the non-gyrotropic parts of the heat flux tensor can be ig- nored in the equations for the ...
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Nonlinear theory of resonant slow waves in anisotropic and dispersive plasmas
... [email protected] https://eprints.whiterose.ac.uk/ Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, ...
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Oblique spatial dispersive shock waves in nonlinear Schrodinger flows
... SPATIAL DISPERSIVE SHOCK WAVES IN NONLINEAR SCHR ¨ ODINGER FLOWS ∗ ...In dispersive media, hydrodynamic singularities are resolved by coherent wavetrains known as dispersive shock waves ...
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Rough evolution equations
... the evolution problem by fixed-point ...of non-linear evolution problems, reobtaining some results of the work ...our evolution equations in the Young ...
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Lattice dynamics on large time scales and dispersive effective equations
... AND DISPERSIVE EFFECTIVE EQUATIONS \ast BEN SCHWEIZER \dagger AND FLORIAN THEIL \ddagger ...of waves in ...weakly dispersive wave equation of fourth ...
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Smoothing properties of certain dispersive nonlinear partial differential equations
... These estimates are used to show the existence of a global attractor in the energy space. We also use a modified energy functional to show that when the damping is large, the attractor is trivial. The next chapter ...
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Dispersive evolution of nonlinear fast magnetoacoustic wave trains
... The dispersive nature of fast magnetohydrodynamic waves in coronal structures provides a robust mechanism to explain the detected quasi- periodic ...
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Solitary Waves and Property Management of Nonlinear Dispersive and Flattened Optical Fiber
... Solitary Waves and Property Management of Nonlinear Dispersive and Flattened Optical ...flattened dispersive optical fiber so that certain classes of solitary waves propagate there with fewer ...
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