Integrable systems have long captured the attention of both mathematicians and physicists due to their rich structure and exact solvability. Within this framework, defects—localised irregularities or ...

Integrable systems occupy a central role in mathematical physics due to their distinctive property of possessing an infinite number of conserved quantities, which allows for exact solution methods.

Processes in nature can often be described by equations. In many non-trivial cases, it is impossible to find the exact solutions to these equations. However, some equations are much simpler to deal ...