TITLE

Ion-acoustic solitary waves and their interaction in a weakly relativistic two-dimensional thermal plasma

AUTHOR(S)
Han, Jiu-ning; Du, Sheng-lin; Duan, Wen-shan
PUB. DATE
November 2008
SOURCE
Physics of Plasmas;11/1/2008, Vol. 15 Issue 11, p112104
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This paper discusses the existence of ion-acoustic solitary waves and their interaction in a weakly relativistic two-dimensional thermal plasma. Two Korteweg–de Vries equations for small but finite amplitude solitary waves in both ξ and η directions are derived. The phase shifts and trajectories of two solitary waves after the collision with an arbitrary angle α are also obtained. The effects of parameters of the normalized ion temperature σ, the ratio of heat capacity δ, the relativistic factor Fγ, and the colliding angle α on the amplitudes, the widths and the phase shifts of both the colliding solitary waves are studied. The effects of these parameters on the new nonlinear wave created by the collision between two solitary waves are examined as well. The results suggest that these parameters can significantly influence the amplitude, the width of the newly formed nonlinear wave and the colliding solitary waves. The phase shifts of the colliding solitary waves strongly depend on the colliding angle α. Moreover, there are compressive solitary waves in such a system.
ACCESSION #
35541217

 

Related Articles

  • Cylindrical and spherical soliton collision of electron-acoustic waves in non-Maxwellian plasma. El-Labany, S.; Sabry, R.; Moslem, W.; Elghmaz, E. // Astrophysics & Space Science;Feb2014, Vol. 349 Issue 2, p773 

    Generation of quasielastic electron-acoustic (EA) waves head-on collision are investigated in non-planar (cylindrical/spherical) plasma composed of cold electrons fluid, hot electrons obeying nonthermal distribution, and stationary ions. The cylindrical/spherical Korteweg-de Vries (KdV)...

  • The Influence of the Shape and Chirping of a Femtosecond Pulse on the Self-Formation of Solitons Propagating in a Cubic Nonlinear Waveguide. Volkov, A.G.; Trofimov, V.A. // Optics & Spectroscopy;Feb2005, Vol. 98 Issue 2, p291 

    The influence of the duration, initial form, and chirping of a femtosecond pulse on the possibility of formation of solitons in a cubic medium, which, in addition, introduces a homogeneous phase shift, is considered. The time dispersion of the nonlinear response of the medium is taken into...

  • The Hirota conditions. Newell, Alan C.; Yunbo, Zeng // Journal of Mathematical Physics;Aug86, Vol. 27 Issue 8, p2016 

    The condition on the polynomial P for a Hirota equation Pτ · τ=0 to have an N-soliton solution for arbitrary N is examined and simplified.

  • Internal solitons in laboratory experiments: Comparison with theoretical models. Ostrovsky, L. A.; Stepanyants, Y. A. // Chaos;Sep2005, Vol. 15 Issue 3, p037111 

    Nonlinear internal solitary waves observed in laboratory experiments are discussed from the standpoint of their relation to different soliton theories, from the classical integrable models such as the Korteweg–de Vries, Gardner, Benjamin–Ono, and...

  • Soliton phase shifts in a dissipative lattice. Islam, Nayeem; Singh, J. P.; Steiglitz, Kenneth // Journal of Applied Physics;7/15/1987, Vol. 62 Issue 2, p689 

    Calculates the amplitude, width, velocity and phase-shift characteristics of solitons in a dissipatic lattice. Information on the velocity, amplitude and width measurements; Details on phase shifts on collission; Design for a parity checker.

  • Nonlinear distortion of traveling waves in non-uniform gasdynamic flows. Tyagi, Manav; Sujith, R. I.; Vasu, Subith // International Journal of Aeroacoustics;Jul2008, Vol. 7 Issue 3/4, p243 

    A theory of nonlinear wave propagation in quasi-one-dimensional non-uniform gasdynamic flows is developed in order to explain the effect of flow non-uniformity on nonlinear processes such as shock formation and wave quenching. The methodology used is the tracking of the propagating wave front in...

  • Self-phasing of drift waves. Batalov, S. V.; Naulin, V.; Rasmussen, J. J.; Shagalov, A. G. // JETP Letters;Sep2008, Vol. 88 Issue 2, p91 

    It is shown that self-phasing can be used to generate and control large-amplitude drift waves in a magneto-plasma.

  • Hirota’s virtual multisoliton solutions of N=2 supersymmetric Korteweg-de Vries equations. Kiselev, A. V.; Hussin, V. // Theoretical & Mathematical Physics;Jun2009, Vol. 159 Issue 3, p833 

    We prove that for a = 1 or a = 4, the N= 2 supersymmetric Korteweg-de Vries (super-KdV) equations obtained by Mathieu admit Hirota’s n-supersoliton solutions, whose nonlinear interaction does not produce any phase shifts. For initial profiles that cannot be distinguished from a...

  • Group-theoretical derivation of Aharonov-Bohm phase shifts. Hagen, C. R. // Journal of Mathematical Physics;Feb2013, Vol. 54 Issue 2, p021703 

    The phase shifts of the Aharonov-Bohm effect are generally determined by means of the partial wave decomposition of the underlying Schrödinger equation. It is shown here that they readily emerge from an o(2,1) calculation of the energy levels employing an added harmonic oscillator potential...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics