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[PDF] Top 20 Non-linear dispersive waves with a small dissipation

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Non-linear dispersive waves with a small dissipation

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] ... See full document

241

Wave growth patterns in a non linear dispersive system with instability and dissipation

Wave growth patterns in a non linear dispersive system with instability and dissipation

... through mode coupling to short wave length and is expected to be balanced by damping due to the fourth order dissipation term.. When the rate of energy influx from the linear instability[r] ... See full document

6

Dispersive Traveling Wave Solution for Non Linear Waves Dynamical Models

Dispersive Traveling Wave Solution for Non Linear Waves Dynamical Models

... of dispersive waves and in particular, the propagation of long waves of small or moderate amplitude, traveling in nearly one direction without dissipation in water of uniform ...water ... See full document

14

Dispersive MHD waves and alfvenons in charge non-neutral plasmas

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 ... See full document

13

The non-linear evolution of magnetic flux ropes: 3. effects of dissipation

The non-linear evolution of magnetic flux ropes: 3. effects of dissipation

... single, non-linear, second-order, ordinary differential equation for the evolution ...discuss small-amplitude oscilla- tions about the stable equilibrium ...(a) non-linear, ... See full document

13

Mathematical and numerical modelling of dispersive water waves

Mathematical and numerical modelling of dispersive water waves

... the Non-linear Shallow-Water equations, from now on SWE, is often a good choice as an approximation of the Navier- Stokes ...long non- linear water ...and non- hydrostatic pressure ... See full document

293

Linear Waves in Partially Ionized Plasmas in Ionization Non-equilibrium

Linear Waves in Partially Ionized Plasmas in Ionization Non-equilibrium

... of linear Alfvén and slow magnetoacoustic waves in a partially ionized plasma in ionization ...these waves are studied within the framework of a two-fluid plasma in terms of the collisional strength ... See full document

10

A fluid description for Landau damping of dispersive MHD waves

A fluid description for Landau damping of dispersive MHD waves

... long dispersive Alfv´en waves propagating along an ambient field, is shown to correctly capture the Lan- dau damping of oblique magnetosonic waves predicted by a kinetic theory based on the ... See full document

14

Non-linear water waves generated by impulsive motion of submerged obstacles

Non-linear water waves generated by impulsive motion of submerged obstacles

... the non-linear water wave problem is consid- ered in the presence of a thin horizontal elliptic cylinder sub- merged beneath a free surface of deep ...tsunami-type waves due to a fast deformation of ... See full document

6

Effect of Positive Dust on Non linear Properties of Electron acoustic Waves

Effect of Positive Dust on Non linear Properties of Electron acoustic Waves

... ion-acoustic waves, but also introduces some new features, which are very important from both the theoretical and experimental points of view ...ion-acoustic waves [24–30] in a plasma with charged dust, ... See full document

12

Symmetry analysis for three dimensional dissipation Rossby waves

Symmetry analysis for three dimensional dissipation Rossby waves

... weak linear approximation, the magnitude difference between nonlinear and dissipation is small, and the dissipation effect must be ...with dissipation effect is ...the dissipation ... See full document

10

Reflection and dissipation of oblique Alfvén waves in an isothermal atmosphere

Reflection and dissipation of oblique Alfvén waves in an isothermal atmosphere

... In addition, the atmosphere can be divided into two distinct regions connected by a tran- sition region. In the lower region, the solution can be written as a linear combination of an upward and a downward ... See full document

9

Nonlinear theory of resonant slow waves in anisotropic and dispersive plasmas

Nonlinear theory of resonant slow waves in anisotropic and dispersive plasmas

... and linear theory (see, ...of dissipation is the same order of magnitude as the inverse of the total Reynolds ...that dissipation is only important inside the dissipative ...are small, ... See full document

13

The refraction, shoaling and structure of non linear internal waves at a continental shelf margin

The refraction, shoaling and structure of non linear internal waves at a continental shelf margin

... of non-linear steepening, when dispersive effects are negligible, which leads to formation of a bore as the elevated part of the wave moves faster than the depressed part (dashed line in Figure ... See full document

281

New Opportunities for NDT Using Non-Linear Interaction of Elastic Waves with Defects

New Opportunities for NDT Using Non-Linear Interaction of Elastic Waves with Defects

... a small cracked defect (transparent in the linear ultrasonic NDT) behaves as an active radiation source of new frequency components rather than a passive scatterer in conventional (linear) ultrasonic ... See full document

14

Collisional dissipation of Alfvén waves in a partially ionised solar chromosphere

Collisional dissipation of Alfvén waves in a partially ionised solar chromosphere

... the non-ideal MHD approximation with an additional term relating to the Cowling conductivity in the generalised Ohm’s law ...is small over a typical ...damped waves of frequencies above ... See full document

9

Non-propagating electric and density structures formed through non-linear interaction of Alfv´en waves

Non-propagating electric and density structures formed through non-linear interaction of Alfv´en waves

... Alfv´en waves with an oblique wave vector in- duce an electric field with a component parallel to the am- bient magnetic ...is small enough to allow k ⊥ c/ω p ∼ 1 or k ⊥ ρ i ∼ 1, where k ⊥ is the wave ... See full document

15

Topics in linear and nonlinear dispersive waves

Topics in linear and nonlinear dispersive waves

125

Dispersive waves and caustics

Dispersive waves and caustics

... Each term in the classical expansion is multiplied by the integral over B4 to which a modified stationary phase technique applies [ii], resulting in the full expansion of the inte- gral [r] ... See full document

15

A new non polynomial spline method for solution of linear and non linear third order dispersive equations

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 ... See full document

14

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