Abstract:
The existence domain of an ion acoustic supersoliton and its transition to a regular kind of solitary
wave have been explored in detail using Sagdeev pseudopotential technique for a two electron
temperature warm multi-ion plasma having two species of ions. It was found that both the cold to
hot electron temperature ratio and their respective ambient densities play a deterministic role for
the existence of a supersoliton, as well as its transitional processes to a regular solitary wave.
Analogous to a double layer solution, which often marks the boundary of the existence domain of a
regular solitary wave, a “curve of inflection” determines the boundary of the existence domain of a
supersoliton. The characteristics of the “curve of inflection,” in turn, depend on the respective
concentrations of the two ion species. It is observed that the supersolitons are actually a subset of a
more general kind of solutions which are characterized by a fluctuation in the corresponding charge
separation which precedes their maximum amplitude. It is also observed that these novel kinds of
solitary structures, including supersolitons, occur only for a very narrow range of parameters near
constant amplitude beyond which the wave breaks.