a self-reinforcing solitary wave (a wave packet or pulse) that maintains pulse's shape while pulsetravels at constant speed

In mathematics and physics, a soliton is a self-reinforcing solitary wave (a wave packet or pulse) that maintains pulse's shape while pulsetravels at constant speed.

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.

Solitary waves

Solitary waves called solitons are one of nature's great curiosities:

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 s

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

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.

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.

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 wave called a soliton, which is a wave that has a single crest and moves without changing speed or shape

They are a solitary wave called a soliton, which is a wave that has a single crest and moves without changing speed or shape.

Robust solitary waves that emerge from collisions unaltered

Robust solitary waves that emerge from collisions unaltered are called solitons.

a solitary wave with the crucial additional property that a solitary wave preserves a solitary wave's form exactly when a solitary wave interacts with other solitary waves

A soliton is a solitary wave with the crucial additional property that a solitary wave preserves a solitary wave's form exactly when a solitary wave interacts with other solitary waves.

an example of a wave in nonlinear physics

A soliton is an example of a wave in nonlinear physics.

a solitary wave having the additional property that other solitons can pass through a solitary wave without changing a solitary wave's shape

However, a soliton is a solitary wave having the additional property that other solitons can pass through a solitary wave without changing a solitary wave's shape.

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.

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.

A solitary wave , also known as a soliton,

A solitary wave, also known as a soliton, is a particle-like object with finite energy and amplitude that maintains amplitude's shape during propagation and restores amplitude after colliding with other solitons.

a wave

A soliton is defined as a wave, which once formed, maintains a wave's shape while a wave travels at constant speed.

solutions to tricky non-linear equations

Mathematically, solitons are solutions to tricky non-linear equations.

that can travel for a long distance, maintaining a long distance's shape and velocity without dissipating a long distance's energy

A soliton is a special kind of wave that can travel for a long distance, maintaining a long distance's shape and velocity without dissipating a long distance's energy.

The boundary between the two phases

The boundary between the two phases is called a soliton.