R. Roychoudhury et al., Quasipotential analysis for deriving the multidimensional Sagdeev potential equation in multicomponent plasma, PHYS PLASMA, 6(7), 1999, pp. 2721-2726
The exact multidimensional Sagdeev potential is derived in a multicomponent
plasma consisting of negative ions wherein a fraction of electrons is trap
ped in the potential well developed in the plasma. More precisely, the Sagd
eev potential equation revisits the results stemming from the Kadomtsev-Pet
viashvili (K-P) equation deduceable by applying the reductive perturbation
technique in plasma-acoustic wave dynamics. In the study we show that the m
ultidimensional Sagdeev potential derived here yields the formation and pro
pagation of solitons, as well as double layers in plasma, by using a new ap
proach known as the tanh-method to solve out the soliton phenomena. It is s
een that different ordering in phi, the electrical potential, yields differ
ent solitary wave solutions that agree with earlier observations. (C) 1999
American Institute of Physics. [S1070-664X(99)02906-7].