Abstract
AbstractIn this investigation, I am trying to extract abundant exact traveling wave solutions for the nonlinear partial fifth order Caudrey–Dodd–Gibbon (CDG) differential equation via the (\({{G^{\prime}} / {G,\;{1 / G}}}\))-expansion method. Here I accomplish varieties types of wave solutions as like, trigonometric, hyperbolic, and rational function solution. Since new solutions provided us new physical explanation of the mathematical model for engineering applications and nonlinear sciences. So this article is very effective to extract abundant new analytic traveling wave solitons. Graphical representations of the obtained solutions are also portrayed and the shapes of the new solutions are bright soliton, dark soliton, periodic soliton etc. This eminent method is more applicable and easier to analysis nonlinear partial differential models.KeywordsNonlinear partial differential equationThe fifth order Caudrey-Dodd-Gibbon equationTraveling wave solutionsThe (\({{G^{\prime}} / {G,\;{1 / G}}}\))-expansion method
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