Chiral solitons with W-shaped and other profiles in (1 + 2) dimensions

In the present work, we investigate the dynamical behaviours of solitons in the quantum field theory. The medium is described by the chiral nonlinear Schrödinger equation in (1 + 2) -dimensions. The study is carried out by three integration methodologies including extended auxiliary equation method, functional variable method and Kudryashov method. Different types of soliton structures such as W-shaped, bright, dark and singular solitons are derived. The obtained results show that the W-type structure is transmitted to bright and dark solitons under specific conditions. The physical interpretations of soliton behaviours are presented so as to pave the way for likely engineering or industrial applications.