Integrability of linear structure of components of modified Korteweg–De Vries hierarchy: multiple soliton solutions and breathers solutions

What is it about?

We establish a linear structure of some components of the modified KdV (mKdV) equation hierarchy. We confirmed the integarabilty of the system that combines a variety of components of the hierarchy. Multiple soliton solutions and a variety of breather solutions were formally derived. Other solutions of solitonic and complex structure were also derived.

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