Litcius/Paper detail

Energy-carrying wave simulation of the Lonngren-wave equation in semiconductor materials

Hülya Durur

2021International Journal of Modern Physics B20 citationsDOI

Abstract

In this study, the Lonngren-wave equation, which is physically semiconductor, is taken into consideration. Traveling wave solutions of this equation are presented with generalized exponential rational function method, which is one of the mathematically powerful analytical methods. These solutions are produced in bright (non-topological) soliton and complex trigonometric-type traveling wave solutions. Three-dimensional (3D), 2D and contour graphics are presented with the help of a ready-made package program with special values given to constants in these solutions. The effect of the change in wave velocity on the traveling wave solution showing energy transport is presented with the help of simulation. It is argued that velocity is one of the important factors in wave diffraction. In the results and discussion section, the advantages and disadvantages of the method are discussed.

Topics & Concepts

Trigonometric functionsTrigonometryWave packetWave equationRational functionExponential functionDiffractionPhysicsSolitonTraveling waveMathematical analysisWave functionEnergy (signal processing)SemiconductorPeriodic waveClassical mechanicsOpticsMathematicsNonlinear systemQuantum mechanicsGeometryNonlinear Photonic SystemsAdvanced Fiber Optic SensorsElectromagnetic Simulation and Numerical Methods