Complex traveling-wave and solitons solutions to the Klein-Gordon-Zakharov equations
Alphonse Houwe, Souleymanou Abbagari, Yakada Salathiel, Serge Y. Doka, Kofané Timoléon Crépin, Dumitru Bǎleanu
Abstract
This paper studies complex solutions and solitons solutions to the Klein-Gordon-Zakharov equations (KGZEs). Solitons solutions including bright, dark, W-shape bright, breather also trigonometric function solutions and singular solutions of KGZEs are obtained by three integration algorithm. From the spatio-temporal and 3-D and 2-D contour plot, it is observed that obtained solutions move without any deformation that implies the steady state of solutions. Furthermore, these solutions will be helpful to explain the interactions in hight frequency plasma and solitary wave theory.
Topics & Concepts
Traveling waveBreatherTrigonometryMathematical physicsPhysicsTrigonometric functionsPlot (graphics)Mathematical analysisFunction (biology)Klein–Gordon equationClassical mechanicsMathematicsNonlinear systemQuantum mechanicsGeometryStatisticsBiologyEvolutionary biologyNonlinear Waves and SolitonsAdvanced Mathematical Physics ProblemsNonlinear Photonic Systems