Frequency and time profiles of metric wave isolated Type I solar noise storm bursts at high spectral and temporal resolution

Type I noise storms constitute a sizeable faction of the active-Sun radio emission component. Observations of isolated instances of such bursts, in the swept-frequency-mode at metric wavelengths, have remained sparse, with several unfilled regions in the frequency coverage. Dynamic spectra of the burst radiation, in the 30 - 130 MHz band, obtained from the recently commissioned digital High Resolution Spectrograph (HRS) at the Gauribidanur Radio Observatory, on account of the superior frequency and time resolution, have unravelled in explicit detail the temporal and spectral profiles of isolated bursts. Apart from presenting details on their fundamental emission features, the time and frequency profile symmetry, with reference to custom-specific Gaussian distributions, has been chosen as the nodal criterion to statistically explain the state of the source regions in the vicinity of magnetic reconnections, the latent excitation agent that contributes to plasma wave energetics, and the quenching phenomenon that causes damping of the burst emission.Comment: 9 pages 7 black and white / grey-scale figures (inclusive of 3 composite). MNRAS - accepte

Spectrum of Solar Type I Continuum Noise Storm in the 50 - 80 MHz band, and Plasma characteristics in the associated source region

Continuum observations of a solar noise storm in the frequency range of 50 - 80 MHz observed with the Gauribidanur radio spectrograph during 2000 September, 26 & 27, are presented here. The radio spectral index of the noise storm continuum in the band 50 - 80 MHz is found to be ~3.65 during the above period. The Noise Storm continuum radiation is explained as a consequence of the non-thermal, plasma emission mechanism. The beam-density of suprathermal electrons is estimated for the coronal plasma near the source region of storm radiation. Supplementary evidence for the density-estimate is provided by way of analysing the imaging data from the SXT on-board the Yohkoh spacecraft, and the LASCO, MDI, and EIT on board the SoHO spacecraft.Comment: 43 pages; 5 tables; 15 figures (9 color). ApJ (Part I : accepted

Painlevé property of the inhomogeneous coupled nonlinear Schrödinger equations

We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply the Painlevé singularity structure analysis and find that the proposed equations admit the Painlevé property. From the detailed analysis, we conclude that the coupled versions of the homogeneous and inhomogeneous uncoupled integrable NLS equations are always integrable from the point of view of Painlevé analysis

Integrability aspects of NLS-MB system with variable dispersion and nonlinear effects

In this paper, we analyze the integrability aspects of the NLS-MB system with variable dispersion and nonlinear effects. We obtain the constraints for which the above system becomes integrable by using the Painlevé singularity analysis. Obtained results are in agreement with the known results

Solitons in the system of coupled Hirota-Maxwell-Bloch equations

We propose the system of coupled Hirota-Maxwell-Bloch equations which governs the propagation of optical pulses in an erbium doped nonlinear fibre with higher order dispersion, self-steepening and self induced transparency (SIT) effects. The Lax pair is explicitly constructed and the soliton solution is obtained using the Darboux-Bäcklund transformations. Hence, the system is found to admit soliton type lossless wave propagation

Application of Painlevè analysis to the wave-wave scattering problem in a two-level resonant medium

In this paper, we apply the Painlevé singularity structure analysis to the wave-wave scattering problem which manifests itself in nonlinear optics as the stimulated Raman scattering (SRS) and self-induced transparency (SIT) and in plasma physics as the interaction of electromagnetic waves with the ion-acoustic waves. The governing equations are expected to be integrable from the point of view of Painlevé (P) analysis

Optical solitons in N-coupled higher order nonlinear Schrodinger equations

We consider the coupled higher order nonlinear Schrodinger (CHNLS) equations which govern the propagation of the fields in a birefringent fiber with all higher order effects like the third order dispersion, Kerr dispersion, and stimulated Raman scattering. We generalize the 2×2 Ablowitz-Kaup-Newell-Segur method to the 5×5 eigenvalue problem and construct the Lax pair. The exact soliton solutions are explicitly obtained using the Darboux-Bäcklund transformation. A similar case of study is extended to three coupled HNLS equations and hence generalized to N-coupled equations

Coupled higher-order nonlinear Schrödinger equations in nonlinear optics: Painlevé analysis and integrability

A set of coupled higher-order nonlinear Schrödinger equations which can be derived from the electromagnetic pulse propagations in coupled optical waveguides and in a weakly relativistic plasma with nonlinear coupling of two polarized transverse waves is proposed. Using the Painlevé singularity structure analysis, we show that it admits the Painlevé property and hence we expect that it will exhibit soliton-type lossless propagations