Properties of some higher-dimensional nonlinear Schrödinger equations
Kottakkaran Sooppy Nisar, İbrahim E. İnan, Hadi Rezazadeh
Abstract
In this study, we have used the sub-equation method to provide some analytic solutions of the (2 + 1) and (3 + 1) dimensional nonlinear Schrödinger equations (NLSEs). We obtained are dark, bright and singular optical solitons. We observed through the Mathematica 11.2 program that these solutions provide the equations. Apart from that, we have shown the graphics performance of some of the solutions found. This method has been used recently to obtain exact traveling wave solutions of nonlinear partial differential equations.
Topics & Concepts
Nonlinear systemPartial differential equationMathematical analysisTraveling waveMathematicsDifferential equationSchrödinger equationApplied mathematicsPhysicsQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies