Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation
Karmina K. Ali, Sibel Tarla, Mohamed R. Ali, Abdullahi Yusuf
Abstract
We examine an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial derivatives in this paper. We develop various optical solutions to the equation under study using the Jacobi elliptic expansion method. We investigate the consequences of nonlinearity and spatial dispersion in spatial directions x and y. Furthermore, by investigating the stability condition of this nonlinear equation, we derive the linear stability analysis. The innovative evolutionary behaviors in the 3-dimensional profile are provided under constraint circumstances to indicate the wave propagation direction.
Topics & Concepts
Nonlinear systemNonlinear Schrödinger equationModulation (music)Stability (learning theory)InstabilityDispersion (optics)PhysicsConstraint (computer-aided design)Mathematical analysisOptical fiberMathematicsOpticsQuantum mechanicsComputer scienceGeometryMachine learningAcousticsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies