Soliton can be said as one of the integrable solutions of nonlinear differential equations. In a system, it propagates with constant velocity and has localized shape. Collision between solitons does not change their shape. During the collision each phases are shifted for the moment, but their shapes will be recovered immediately in the end of collision. Therefore, this behavior makes the soliton solutions cannot be represented as a linear combination of two solitons solutions.
An example of soliton phenomenon in our life can be seen in Tsunami Disaster. Waves in the disaster is not an ordinary wave, but its an soliton. Solitariness of the waves is one of the characteristic a soliton. Beside of that, when a soliton propagates through an object, the object is not vibrated but would be carried away by the wave.
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