a self-reinforcing solitary wave () a wave packet or pulsethat maintains pulse's shape while pulse propagates at a constant velocity

Taking the basic definition Wikipedia: “In mathematics and physics, a soliton is a self-reinforcing solitary wave (a wave packet or pulse) that maintains pulse's shape while pulse propagates at a constant velocity.

a type of self-reinforcing solitary wave

A soliton is a type of self-reinforcing solitary wave.

bubble'—is a compact wave that maintains a compact wave's shape and moves at constant velocity

A soliton—in this context also informally referred to as a 'warp bubble'—is a compact wave that maintains a compact wave's shape and moves at constant velocity.

a wave that maintains a wave's shape while continuing at a constant velocity

A soliton is a wave that maintains a wave's shape while continuing at a constant velocity.

a special type of solitary wave that exhibits a particle-like behavior with a strong stable form

A soliton, on the other hand, is a special type of solitary wave that exhibits a particle-like behavior with a strong stable form.

in this context as a ‘warp bubble’

A soliton – in this context also informally referred to as a ‘warp bubble’ – is a compact wave that maintains a compact wave's shape and moves at constant velocity.

solitary waves observed for the first time by the Scottish mathematician and engineer J. S. Russell in 1834

Solitons are solitary waves observed for the first time by the Scottish mathematician and engineer J. S. Russell in 1834.

a solitary wave whose amplitude, shape, and velocity are conserved after a collision with another soliton

That is, for a conservative (non-dissipative) system, a soliton is a solitary wave whose amplitude, shape, and velocity are conserved after a collision with another soliton.

that maintains a self-reinforcing solitary wave's shape without distortion as a self-reinforcing solitary wave

A soliton is a self-reinforcing solitary wave that maintains a self-reinforcing solitary wave's shape without distortion as a self-reinforcing solitary wave travels at constant velocity along a waveguide such as an optical fibre.

a solitary pulse-like wave

A soliton is a solitary pulse-like wave that is found in nonlinear systems.

an ultra stable wave train often with a seemingly simple closed shape, which can arise in the context of non-linear wave oscillations

A soliton is an ultra stable wave train often with a seemingly simple closed shape, which can arise in the context of non-linear wave oscillations.

Solitary waves that run a long distance without losing their shape or dying out

Solitary waves that run a long distance without losing their shape or dying out are a special class of waves called solitons.