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Adiabatic nonlinear waves with trapped particles: Part II. Wave dispersion
adiabatic nonlinear waves trapped particles Wave dispersion
2011/10/8
Abstract: A general nonlinear dispersion relation is derived in a nondifferential form for a quasistationary sinusoidal Langmuir wave in collisionless plasma, allowing for an arbitrary distribution of...
Adiabatic nonlinear waves with trapped particles: Part I. General formalism
adiabatic nonlinear waves General formalism trapped particles Plasma Physics
2011/10/8
Abstract: A Lagrangian formalism is developed for a general nondissipative quasiperiodic nonlinear wave with trapped particles in collisionless plasma. The adiabatic time-averaged Lagrangian density L...
Adiabatic nonlinear waves with trapped particles: Part I. General formalism
Adiabatic nonlinear waves trapped particles General formalism
2011/8/4
Abstract: A Lagrangian formalism is developed for a general nondissipative quasiperiodic nonlinear wave with trapped particles in collisionless plasma. The adiabatic time-averaged Lagrangian density L...
Adiabatic nonlinear waves with trapped particles: Part II. Wave dispersion
Adiabatic nonlinear waves trapped particles Wave dispersion
2011/8/4
Abstract: A general nonlinear dispersion relation is derived in a nondifferential form for a quasistationary sinusoidal Langmuir wave in collisionless plasma, allowing for an arbitrary distribution of...
Adiabatic nonlinear waves with trapped particles: Part III. Wave dynamics
Adiabatic nonlinear waves trapped particles Wave dynamics
2011/8/4
Abstract: The evolution of waves with trapped particles is described within the Lagrangian model developed in Paper I. One-dimensional nonlinear Langmuir waves with deeply trapped electrons are addres...
Application of Sumudu transform in reaction-diffusion systems and nonlinear waves
Fractional diffusion equation Generalized Mittag-Liffler Function
2010/9/20
In this paper we investigate the solution of a nonlinear reactiondiffusion equation connected with nonlinear waves by the application of Sumudu transform. The results presented here are in compact and...
Well-Posedness and Stability of the Periodic Nonlinear Waves Interactions for the Nenney System
Benney system Well-Posedness Stability of periodic traveling waves
2010/11/30
We establish local well-posedness results in weak periodic function spaces for the Cauchy problem of the Benney system. The Sobolev space H1/2 ×L2 is the lowest regularity attained and also we cover t...
Solitons, shockwaves and spikes: Computational simulation of nonlinear waves on lattice
soliton shockwave spikes
2010/9/17
In this paper, we systematically find computational solutions to a class of differential equation systems which exhibit nonlinear wave behavior. After discretizing the nonlinear partial differential e...
Nonlinear waves and solitons propagating perpendicular to the magnetic field in bi-ion plasma with finite plasma pressure
Nonlinear waves solitons propagating perpendicular magnetic field bi-ion plasma plasma pressure
2009/11/12
We investigate the nature of nonlinear waves propagating transverse to the magnetic field in a bi-ion plasma including plasma pressure. By using the conservation laws derived from the multi-ion fluid ...
Variability in spatial patterns of long nonlinear waves from fast ferries in Tallinn Bay
Variability spatial patterns long nonlinear waves fast ferries Tallinn Bay
2009/10/30
High-speed ferries are known to generate wakes with unusually long periods, and occasionally large amplitudes which may serve as a qualitatively new forcing factor in coastal regions that are not expo...
Statistical Properties of the Kinematics and Dynamics of Nonlinear Waves
Statistical Properties Kinematics Nonlinear Waves
2009/1/19
The probability density function and the first three statistical moments of velocity, acceleration and pressure of a gravity wave field, for points in the vicinity of still water level, are obtained t...
Nonlinear Waves and Coherent Vortex Structures in Barotropic β-plane Jets
Nonlinear Waves Barotropic β-plane Jets Coherent Vortex Structures
2009/1/8
We examine the nonlinear evolution of barotropic β-plane jets on a periodic domain with a pseudospectral. A calculation of the linear growth rate yields an infected U-shaped curve on the β versus k0 p...
Nonlinear Waves in an Inhomogeneous Fluid Filled Elastic Tube
nonlinear wave inhomogeneity
2007/8/15
2004Vol.41No.1pp.115-118DOI:
Nonlinear Waves in an Inhomogeneous Fluid Filled Elastic Tube
DUAN Wen-Shan
Department of Physics, Northwest Normal University,
Lanzhou 73...