Abstract
This study investigates a stochastic nonlinear Schrödinger equation (1+1) dimensional with a random potential. The equation under consideration is crucial in the study of the evolution of nonlinear dispersive waves in a completely disordered medium. By employing the ϕ6 model expansion technique, we will derive stochastic exact solutions for this stochastic partial differential equation. The obtained solutions can be expressed as exponential type and the results show that this method is effective and simple for solving such equations. Additionally, the study of nonlinear equations in a random environment is important as solitons are known to be stable against mutual collisions and behave like particles. However, it is difficult to describe realistic physical phenomena with variable or constant coefficient nonlinear equations.
Original language | English |
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Article number | 651 |
Journal | Optical and Quantum Electronics |
Volume | 55 |
Issue number | 7 |
DOIs | |
Publication status | Published - Jul 2023 |
Keywords
- Multiplicative noise in the It (Formula presented.) sense
- Stochastic calculus
- Stochastic nonlinear Schrödinger equation
- Stochastic solitary wave (SSW) solutions
- ϕ model expansion method
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Electrical and Electronic Engineering