Solitary waves with weak transverse perturbations in quantum dusty plasmas

Ur-Rehman, H.; Khan, S. A.; Masood, W.; Siddiq, M.
December 2008
Physics of Plasmas;Dec2008, Vol. 15 Issue 12, p124501
Academic Journal
Using the quantum hydrodynamic model, quantum dust ion-acoustic solitary waves are investigated in the presence of weak transverse perturbations. The linear dispersion relation is obtained using the Fourier analysis. The two-dimensional (2D) propagation of small amplitude nonlinear waves is studied by deriving the Kadomtsev–Petviashvili (KP) equation. The traveling wave solution of the KP equation is obtained by employing the tanh method. By dint of this solution, the effects of quantum Bohm pressure and the dust concentration on the 2D solitary structure are studied. The effect of quantum Bohm potential on the stability of the KP soliton is also investigated. The results are supported by the numerical analysis and the relevance of the present investigation in dense astrophysical environments is also pointed out.


Related Articles

  • Topological Solitons of the Nonlinear Schrödinger’s Equation with Fourth Order Dispersion. Biswas, Anjan; Milovic, Daniela // International Journal of Theoretical Physics;Apr2009, Vol. 48 Issue 4, p1104 

    This paper obtains the topological 1-soliton solution of the nonlinear Schrödinger’s equation, in a non-Kerr law media, with fourth order dispersion. An exact 1-soliton solution is obtained. The types of nonlinearity that are studied in this paper are Kerr law and power law.

  • Exact surface plasmon dispersion relations in a linear-metal-nonlinear dielectric structure of arbitrary nonlinearity. Haiping Yin; Xu, C.; Hui, P. M. // Applied Physics Letters;6/1/2009, Vol. 94 Issue 22, p221102 

    Exact analytic expression for obtaining the surface plasmon (SP) dispersion relations in a system consisting of a thin metallic film sandwiched between a linear dielectric and a nonlinear dielectric of arbitrary nonlinearity is derived, based on a generalized first integral approach. The changes...

  • Nonlinear Theory of Quantum Brownian Motion. Tsekov, Roumen // International Journal of Theoretical Physics;Jan2009, Vol. 48 Issue 1, p85 

    A nonlinear theory of quantum Brownian motion in classical environment is developed based on a thermodynamically enhanced nonlinear Schrödinger equation. The latter is transformed via the Madelung transformation into a nonlinear quantum Smoluchowski-like equation, which is proven to reproduce...

  • Asymptotic and numerical analysis of thermoelastic waves in an isotropic plate. SALNIKOV, VALERIY; SCOTT, NIGEL // IMA Journal of Applied Mathematics;Jun2006, Vol. 71 Issue 3, p409 

    This paper considers the propagation of a plane thermoelastic wave in an infinite homogeneous isotropic plate subjected to either isothermal or thermally insulated traction-free boundary conditions. The primary concerns are the derivation and numerical examination of the dispersion relations...

  • Quantum corrected Liouville model: Mathematical analysis. Morandi, O. // Journal of Mathematical Physics;Jun2012, Vol. 53 Issue 6, p063302 

    A quantum corrected dynamical model for charged particles is derived. The corrections to the Newton motion are obtained within the Liouville formalism and are expressed by an effective nonlinear force. This effective force describes the non-local character of the quantum particles. The well...

  • Fractal structures in weakly dissipative kam theory and related problems. Bogdanov, R.; Bogdanov, M.; Kusin, P. // Journal of Mathematical Sciences;Feb2013, Vol. 189 Issue 2, p173 

    This paper presents a number of numerical quantities that admit interpretation in terms of classical and quantum mathematical physics.

  • Ion acoustic solitary waves in plasma with nonthermal electron, positron and warm ion. Pakzad, Hamid Reza // Astrophysics & Space Science;Oct2009, Vol. 323 Issue 4, p345 

    In this paper, the characteristics of ion acoustic solitary waves are studied in plasmas containing warm ion fluid, non-thermally distributed electron and positron. We study the effects of non-thermal electrons and ion temperature on solitons by Pseudo-potential method and show that the...

  • Doubly-Special Relativity: Facts, Myths and Some Key Open: Issues. Amelino-Camelia, Giovanni // Symmetry (20738994);Mar2010, Vol. 2 Issue 1, p230 

    I report, emphasizing some key open issues and some aspects that are particularly relevant for phenomenology, on the status of the development of "doubly-special" relativistic ("DSR") theories with both an observer-independent high-velocity scale and an observer-independent...

  • Acoustoelectric shear body waves in periodically layered metallized piezodielectric media. Zinchuk, L.; Levchenko, V. // International Applied Mechanics;Jul2008, Vol. 44 Issue 7, p769 

    The paper proposes a technique to derive the dispersion relations for acoustoelastic shear body waves propagating in periodically layered media formed of identical metallized sandwiches, each consisting of two different piezoelectric layers and a dielectric layer between them. A numerical...


Read the Article


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

Try another library?
Sign out of this library

Other Topics