We show the existence of a type of excitation, which we term as "gap compactonlike," within the gap of the linear spectrum of a system of coupled Kortweg-de Vries equations with linear and nonlinear dispersions. Since the solutions lie in the gap region of the spectra, they avoid resonance with the linear oscillatory wave and, therefore, do not decay into radiations. These types of solutions are important in energy localization and transport in polymers and biopolymers, optical systems, etc.
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Gap compactonlike solutions of coupled Kortweg-de Vries equations with linear and nonlinear dispersions.
Phys Rev E Stat Nonlin Soft Matter Phys
September 2011
Department of Physics, University of Pune, Ganeshkhind, Pune 411007, India.
We show the existence of a type of excitation, which we term as "gap compactonlike," within the gap of the linear spectrum of a system of coupled Kortweg-de Vries equations with linear and nonlinear dispersions. Since the solutions lie in the gap region of the spectra, they avoid resonance with the linear oscillatory wave and, therefore, do not decay into radiations. These types of solutions are important in energy localization and transport in polymers and biopolymers, optical systems, etc.
View Article and Find Full Text PDFNonlinear ion modes in a dense plasma with strongly coupled ions and degenerate electron fluids.
Phys Rev E Stat Nonlin Soft Matter Phys
August 2011
Department of Physics and Astronomy, International Center for Advanced Studies in Physical Sciences, Ruhr-University Bochum, D-44780 Bochum, Germany.
The properties of solitary and shock structures associated with nonlinear ion modes in a dense plasma with strongly coupled nondegenerate ions and degenerate electron fluids are presented. For this purpose, we have used the viscoelastic fluid model for the ions, the inertialess electron momentum equation with weakly and ultrarelativistic pressure laws for the degenerate electron fluids, and Poisson's equation to derive the Burgers and Kortweg-de Vries equations. Possible stationary solutions of the latter are the shock and solitary structures, respectively.
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