Open AccessIon-Acoustic Solitary Wave Solutions of Three-Dimensional Zakharov-KuznetsovBurgers Equation for Dust Ion Acoustic Waves and Their Applications
Publication year - 2019
Publication title -
advances in theoretical and computational physics
Language(s) - English
Resource type - Journals
ISSN - 2639-0108
DOI - 10.33140/atcp.02.01.01
Subject(s) - physics , hyperbolic function , exponential function , trigonometry , soliton , traveling wave , nonlinear system , field (mathematics) , electric field , acoustic wave , kadomtsev–petviashvili equation , mathematical analysis , computational physics , acoustics , burgers' equation , mathematics , quantum mechanics , pure mathematics
Modified extended mapping method is further modified to discover traveling wave solutions of non- linear complexphysical models, arising in various fields of applied sciences. The method is applied to three-dimensional ZakharovKuznetsov-Burgers equation in magnetized dusty plasma. Consequently different kinds of families of exact travelingwave solutions that represent electric field potential, electric and magnetic fields are fruitfully surveyed, with thehelp of Mathematica. The obtained novel exact traveling wave solutions are in different forms such as brightand dark solitary wave, periodic solitary wave, dark and bright soliton, etc., that are represented in the forms oftrigonometric, hyperbolic, exponential and rational functions. The properties of some of the novel traveling wavesolutions are shown by figures. The obtained results exhibit the effectiveness, power and exactness of the methodthat can be used for many other nonlinear problems.