Analysis of Solitary Waves on Non-planar Geometry in a Weakly Ionized Collisional Plasma with Cairns-Gurevich Distributed Electrons

Ion-acoustic solitary waves (IASW) have been studied through non-planar (cylindrical and spherical) damped Korteweg de Vries (KdV)–like Schamel equation in a weakly ionized plasma which consists of collisional cold fluid ions, neutral particles, and electrons which follow Cairns-Gurevich distribution. The non-planar damped KdV-like Schamel equation has been derived employing a standard reductive perturbation technique (RPT). To analyze the features of the soliton, an approximate analytical time-dependent solution has been achieved using the momentum conservation law. The different parametric influences on viz. non-thermal parameter ( b ), trapping parameter ( β ), and ion-neutral collisional frequency ( ν 0 ) on the solitary wave have been discussed in the present work. It has been observed that the soliton amplitude in spherical geometry is larger than in the cylindrical geometry, and in contrast to it, the soliton width in cylindrical geometry is larger than in the spherical geometry.