Soliton reflection in a magnetized inhomogeneous warm plasma: effect of ionization

Malik, Hitendra K.; Kumari, Jyoti; Kumar, Ravinder

doi:10.1007/s40094-014-0123-y

Cited by 5 publications

(5 citation statements)

References 48 publications

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“…Kuehl investigated theoretically the reflection of ion acoustic soliton, and showed that a shelf develops behind the soliton and the reflected wave is small compared with both trailing shelf and soliton amplitude decrease due to energy transfer to the shelf [17][18][19]. Then after, many authors took the problem of soliton propagation in inhomogeneous plasma in different physical situations like plasma with finite ion temperature [20,21], with negative ions [22][23][24][25], with dust [26] and trapped electrons [27], in magnetic field [28,29], with non isothermal electrons [30], with ionization [31,32], with electron inertia contribution [33] and also in other contexts [16,34,35].…”

Section: Introductionmentioning

confidence: 99%

Bending of solitons in weak and slowly varying inhomogeneous plasma

2015

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Bending of solitons in two dimensional plane is presented in the presence of weak and slowly varying inhomogeneous ion density for the propagation of ion acoustic soliton in unmagnetized cold plasma with isothermal electrons. Using reductive perturbation technique, a modified Kadomtsev-Petviashvili equation is obtained with a chosen unperturbed ion density profile. Exact solution of the equation shows that the phase of the solitary wave gets modified by a function related to the unperturbed inhomogeneous ion density causing the soliton to bend in the two dimensional plane, whereas the amplitude of the soliton remaining constant.

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Section: Introductionmentioning

confidence: 99%

Bending of solitons in weak and slowly varying inhomogeneous plasma

2015

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“…We start from the constant coefficient KdV equation (51) which have an exact one solitary wave solution as…”

Section: Exact One Solitary Wave Solution With Variable Velocitymentioning

confidence: 99%

“…The reflection of ion acoustic soliton due to plasma inhomogeneity has been explored for various experimental conditions in [29][30][31][32][33][34][35]. Kuehl et al [36][37][38] theoretically investigated the reflection of ion acoustic soliton followed by a series of works in different physical situations like plasma with finite ion temperature [39,40], with negative ions [41][42][43][44], with dust [45] and trapped electrons [46], in a magnetic field [47,48], with non isothermal electrons [49], with ionization [50,51], with electron inertia contribution [52] and also in other contexts [35,53,54].…”

Section: Introductionmentioning

confidence: 99%

Exact ion acoustic N solitary waves with variable velocity in inhomogeneous plasma induced by charged space debris

Acharya,

Mukherjee,

Janaki

2024

Phys. Scr.

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We have considered the propagation of nonlinear ion acoustic waves in a weakly inhomogeneous,cold (T i = 0), collisionless space plasma in presence of charged space debris objects. The (1+1)dimensional evolution equation for the nonlinear ion acoustic wave is shown to have the form of aforced KdV equation with variable coefficients. The forcing term comes from the orbiting chargedspace debris and the variable coefficients of the forced KdV equation arise due to the equilibriumplasma quantities that depend on the slowly varying spatial coordinate. We have derived the exactone solitary wave, two solitary wave and then exact N solitary wave solutions of the forced systemfor some given choices of pinned debris functions where the velocity of the solitary waves varieswith the slowly varying spatial coordinate.To the best of our knowledge, these exact, debris inducedN solitary wave solutions with variable velocity in inhomogeneous plasma are important and new;hence may generate new ideas on research in this field.

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“…Studying the behavior of solutions of inhomogeneous case merits a separate investigation using tools of soliton theory, which is our future task. The application of our results might be particularly interesting in the investigations in homogeneous and inhomogeneous space and laboratory plasma [32][33][34][35][36].…”

Section: Conclusion and Remarksmentioning

confidence: 99%

Symmetries and exact solutions of KP equation with an arbitrary nonlinear term

et al. 2014

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The generalized KP (GKP) equations with an arbitrary nonlinear term model and characterize many nonlinear physical phenomena. The symmetries of GKP equation with an arbitrary nonlinear term are obtained. The condition that must satisfy for existence the symmetries group of GKP is derived and also the obtained symmetries are classified according to different forms of the nonlinear term. The resulting similarity reductions are studied by performing the bifurcation and the phase portrait of GKP and also the corresponding solitary wave solutions of GKP equation are constructed.

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Soliton reflection in a magnetized inhomogeneous warm plasma: effect of ionization

Cited by 5 publications

References 48 publications

Bending of solitons in weak and slowly varying inhomogeneous plasma

Bending of solitons in weak and slowly varying inhomogeneous plasma

Exact ion acoustic N solitary waves with variable velocity in inhomogeneous plasma induced by charged space debris

Symmetries and exact solutions of KP equation with an arbitrary nonlinear term

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