Simple equations method applied to equations of nonlinear Schrödinger kind
Ivan P. Jordanov
Abstract
In this study we apply the Simple Equations Method (SEsM) to obtain exact solution of equations which are connected to the nonlinear Equation of Schrödinger. We use specific case of SEsM which is based on the use of 2 simple equations. By means of the first simple equation we construct the envelope of the solution of the nonlinear Equation of Schrödinger. The second simple equation is connecet to the relationship for the oscillating part of the solution.
Topics & Concepts
Simple (philosophy)Nonlinear systemIndependent equationSchrödinger equationMathematicsEnvelope (radar)Nonlinear Schrödinger equationSimultaneous equationsMathematical analysisApplied mathematicsSplit-step methodDifferential equationComputer sciencePhysicsQuantum mechanicsEpistemologyPhilosophyTelecommunicationsRadarNonlinear Photonic SystemsNonlinear Waves and SolitonsNumerical methods for differential equations