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Study of quasi-integrable and non-holonomic deformation of equations in the NLS and DNLS hierarchy

Study of quasi-integrable and non-holonomic deformation of equations in the NLS and DNLS hierarchy

The hierarchy of equations belonging to two different but related integrable systems, the Nonlinear Schr\"odinger and its derivative variant, DNLS are subjected to two distinct deformation procedures, viz. quasi-integrable deformation (QID) that generally do not reserve the integrability, only asymptotically integrable, and non-holonomic deformation (N HD) that does. QID is …