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J. C. Bhakta

Bio: J. C. Bhakta is an academic researcher from University of Calcutta. The author has contributed to research in topics: Modulational instability & Spectral width. The author has an hindex of 2, co-authored 2 publications receiving 18 citations.

Papers
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TL;DR: In this paper, the stability of localized solitary wave solutions of simultaneous nonlinear Schrodinger equations describing different types of interacting waves in a plasma has been investigated and it is found that the stability depends on the nature and strength of the interaction potential between the two waves.
Abstract: The stability of localized solitary wave solutions of simultaneous nonlinear Schrodinger equations describing different types of interacting waves in a plasma has been investigated. It is found that the stability depends on the nature and strength of the interaction potential between the two waves. The possible results of interactions between two colliding solitary waves have been discussed using the conservation laws.

11 citations

Journal ArticleDOI
TL;DR: In this article, the effets de the largeur spectrale finie sur l'instabilite de modulation des ondes de Langmuir sont etudies en appliquant une methode developpee par Alber.
Abstract: Les effets de la largeur spectrale finie sur l'instabilite de modulation des ondes de Langmuir sont etudies en appliquant une methode developpee par Alber pour obtenir l'equation de transport pour la densite spectrale. Les resultats numeriques montrent que le spectre est stable vis-a-vis de la perturbation de modulation quand le taux de croissance spectral depasse une valeur critique

7 citations


Cited by
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TL;DR: Theoretical descriptions of solitons and weakly nonlinear waves propagating in plasma media are reviewed, with particular attention to the Korteweg-de Vries (KDV) equation and the Nonlinear Schrodinger equation (NLS) as mentioned in this paper.
Abstract: Theoretical descriptions of solitons and weakly nonlinear waves propagating in plasma media are reviewed, with particular attention to the Korteweg-de Vries (KDV) equation and the Nonlinear Schrodinger equation (NLS). The modifications of these basic equations due to the effects of resonant particles and external magnetic fields are discussed.

74 citations

Journal ArticleDOI
TL;DR: In this article, the structure and dynamics of miscellaneous mixtures of Bose-Einstein condensates confined within a time-independent anisotropic parabolic trap potential are investigated.
Abstract: In this article, we investigate the structure and dynamics of miscellaneous mixtures of Bose-Einstein condensates confined within a time-independent anisotropic parabolic trap potential. In the zero-temperature mean-field approximation leading to coupled Gross-Pitaevskii equations for the macroscopic wave functions of the condensates, we show that these equations can be mapped onto the higher-dimensional time-gated Manakov system up to a first-order of accuracy. Paying particular attention to two-species mixtures and looking forward deriving a panel of miscellaneous excitations to the above equations, we analyze the singularity structure of the system by means of Weiss et al.'s [J. Weiss, M. Tabor, and G. Carnevale, J. Math. Phys. 24, 522 (1983); 25, 13 (1984).] methodology and provide its general Lax representation. As a result, we unearth a typical spectrum of localized and periodic coherent patterns while depicting elastic and nonelastic interactions among such structures alongside the splitting and resonance phenomena occurring during their motion.

16 citations

Journal ArticleDOI
TL;DR: In this paper, a pair of coupled nonlinear Schrodinger equations are derived from the equation of continuity, fluid equation of motion with collisional damping effects for both electron and ion, and the Poisson equation.
Abstract: By using slow space-time variation of the amplitude, a pair of coupled nonlinear Schrodinger equations are derived from the equation of continuity, fluid equation of motion with collisional damping effects for both electron and ion, and the Poisson equation. If the collisional damping effect is neglected then localized solitary wave solutions exist for certain wave numbers of high frequency oscillation with a range of low-frequency wave numbers. Among these localized solitary wave solutions some are found to be stable. The basic balance equations for the solution parameters have been derived from the evolution equations. It is found that the width and wave numbers of the solitary wave remain constant while in motion.

12 citations

Journal ArticleDOI
Hans Pécseli1
TL;DR: In this article, an analytical model for weakly nonlinear electron plasma waves is considered in order to obtain dynamic equations for the space-time evolution of their local power spectra.
Abstract: Analytical models for weakly nonlinear electron plasma waves are considered in order to obtain dynamic equations for the space-time evolution of their local power spectra. The model contains the wave kinetic equation as a limiting case for slow, long wavelength modulations. It is demonstrated that a finite spectral width in wavenumbers has a stabilizing effect on the modulational instability. The results invite a simple heuristic relation between the spectral width and the root-mean-square amplitude of stable stationary turbulent Langmuir wave spectra. A non-local average dispersion relation is derived as a limiting form by using the formalism developed for the spectral dynamics.

10 citations

Journal ArticleDOI
TL;DR: In this paper, a rigorous mathematical reduction of the procedure widely usedfor studying a class of nonlinear problems with perturbations, namely the method of the multiple scales, is used, which provides an approach for deriving a coupled nonlinearSchrodinger equations.
Abstract: A rigorous mathematical reduction of the procedure widely usedfor studying a class of the nonlinear problems with perturbations,namely the method of the multiple scales, is used A profound analysis,which provides an approach for deriving a coupled nonlinearSchrodinger equations The investigation has been achieved byperturbing the nonlinear dynamical system about the linear dynamicalproblem Modulated wavetrains are described to all orders ofapproximation Moreover, we extend our approach to deal with equationshaving periodic terms Two types of simultaneous nonlinearSchrodinger equations are derived One type is valid at thenon-parametric system and the second type represents a modification forthe first type which is governed the non-resonance case Two parametriccoupled nonlinear Schrodeinger equations are derived to govern thesecond-sub-harmonic resonance In addition other two coupled equationsare found for the third-sub-harmonic resonance case These systems ofequations control the stability behavior at the parametric resonancecases The stability criteria for the several types of coupled nonlinearSchrodinger equations are studied These criteria are achieved by atemporal periodic perturbation

10 citations