Abstract:
In this study, we employ two efficient analytical techniques the simplest equation ap
proach and the tanh-coth method to investigate the (1+2) dimensional non-linear chiral
Schrödinger equation. In condensed matter physics and nonlinear optics, this equation
is essential, describing the propagation of light in materials with significant nonlin
earities and chiral properties. By employing the simplest equation method, we derive
exact solutions that reveal the complex relationship between nonlinearity and chirality.
Additionally, the tanh-coth method yields exact soliton solutions, enhancing our under
standing of soliton dynamics in chiral media. Our results provide new insights into the
behavior of nonlinear waves in (1+2) dimensions and demonstrate the effectiveness of
these methods in solving complex nonlinear equations. We present analytical solutions
for bright and dark solitons. We also discuss the variables of the system in the follow
ing section and conditions enabling various solutions, including exponential, singular
and periodic solitons. This work shows how adding nonlinearity affects Schrödinger’s
system. It helps us understand chiral effects in nonlinear systems better and opens up
opportunities for more research in this area.
