  Complexity is often exhibited in dynamical systems, where certain parameters
evolve with time in a strange and chaotic nature. These systems lack
predictability and are common in the physical world. Dissipative systems are
one of such systems where the volume of the phase space contracts with time. On
the other hand, we employ dimensionality reduction techniques to study
complicated and complex data, which are tough to analyse. The Principal
Component Analysis (PCA) is a dimensionality reduction technique used as a
means to study complex data. Through PCA, we studied the reduced dimensional
features of the numerical data generated by a nonlinear partial differential
equation called the Korteweg de Vries (KdV) equation, which is a nonlinear
dispersive system, where solitary waves travel along a specific direction with
finite amplitude. Dissipative nature, specific to that of the Lorenz system,
were observed in the dimensionally reduced data, which implies a transition
from a dispersive system to a dissipative system.
