Arbitrary-amplitude solitary kinetic Alfvén waves in a non-thermal plasma

An exact Sagdeev equation for arbitrary-amplitude solitary kinetic Alfvén waves in a non-thermal plasma is derived. For small [beta][prime prime or minute], the proportion of fast electrons, an analytical expression for the exact pseudopotential V ([phi]) is obtained. For several values of [beta][prime prime or minute], the Sagdeev potential V ([phi]) has been calculated by integrating the Sagdeev equation. It is found that, depending on the values of [beta][prime prime or minute], both hump and dip solitons exist.