Dynamics of novel exact soliton solutions to Stochastic Chiral Nonlinear Schrödinger Equation

Abstract

The core objective of this study is to explore the some novel stochastic solutions. For this purpose, we consider the stochastic (2+1)-dimensional Chiral nonlinear Schrödinger equation (2D-SCNLSE) which is derived with multiplicative noise in the Itô sense. To achieve novel stochastic solutions, we employ two modified techniques as modified generalized exponential rational function method (mGERFM) and the modified rational sine-cosine and sinh-cosh methods. We extract exponential, periodic, bright, dark, and singular in single and combo forms. Due to the applications of the Chiral nonlinear Schrödinger equation in soliton theory, these solutions are extremely viable to exemplify some sensational complicated physical phenomena and applicable in diversified fields of applied sciences. This study enhances the theory of Itô calculus by directly performing it into analytical approaches for the solution of differential equations. To examine the impact of multiplicative noise on the results, several graphs have been plotted. We comprehend that the noise destroys the symmetry of the solutions of adopted model. The evaluated achievements suggested that the proposed methods are categorical, efficacious, reliable, and robust and can be the best way to handle other complex equations arising in applied sciences.

Keywords

• Exact soliton solutions
• 2D-SCNLSE
• mGERFM
• Modified sine-cosine/sinh-cosh