Analytical optical soliton solutions of the Schrödinger-Poisson dynamical system
Muhammad Younis, Aly R. Seadawy, Muhammad Zafarullah Baber, S.A. Husain, Muhammad Sajid Iqbal, Syed T. R. Rizvi, Dumitru Bǎleanu
Abstract
The article studies the exact traveling wave solutions to the Schrödinger-Poisson system which has applications in gravity’s role of quantum state and approximate the coupling between quantum mechanics with gravitation. Diverse exact solutions in hyperbolic, trigonometric and plane wave forms are obtain using two norms of integration. For this sake modified extended direct algebraic (MEDA) and (G′/G)-expansion techniques are used. The 3D plots and their corresponding contour graphs are also depicted. The constraints conditions for the exact of solutions are also emerged during the derivation of solution.
Topics & Concepts
TrigonometryAlgebraic numberPfaffianSolitonExact solutions in general relativityPoisson distributionPhysicsSchrödinger's catQuantumCoupling (piping)Classical mechanicsMathematical analysisMathematicsMathematical physicsQuantum mechanicsNonlinear systemPure mathematicsStatisticsEngineeringMechanical engineeringNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies