Cylindrical and spherical ion-acoustic envelope solitons in multicomponent plasmas with positrons

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Electron-Positron Plasmas, Nonlinear Phenomena: Waves, Wave Propagation, And Other Interactions, Magnetohydrodynamics And Plasmas

Scientific paper

The nonlinear wave modulation of planar and nonplanar (cylindrical and spherical) ion-acoustic envelope solitons in a collisionless unmagnetized electron-positron-ion plasma with two-electron temperature distributions has been studied. The reductive perturbative technique is used to obtain a modified nonlinear Schrödinger equation, which includes a damping term that accounts for the geometrical effect. The critical wave number threshold Kc , which indicates where the modulational instability sets in, has been determined for various regimes. It is found that an increase in the positron concentration (α) leads to a decrease in the critical wave number (Kc) until α approaches certain value αc (critical positron concentration), then further increase in α beyond αc increases the value of Kc . Also, it is found that there is a modulation instability period for the cylindrical and spherical wave modulation, which does not exist in the one-dimensional case.

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