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In this work, an exact solution to a new generalized nonlinear KdV partialdifferential equations has been investigated using homotopy analysistechniques. The mentioned partial differential equation has been solved usinghomotopy perturbation method (HPM). In details, the study is divided into twocases; the first case is that the linear part is the velocity (the firstderivative with respect to time), and the initial guess was chosen at theinitial time or the boundary values. Next, the other case was that the linearpart consists of many linear terms from the equation, the chosen termsconstructed a partial differential equation whose solution can be gainedeasily. Eventually, some plots of the found solutions have demonstrated theconvergent behaviors of the solutions.

Homotopy Analysis Technique for a Generalised (1+1)-Dimensional KdV Equation of Variable Coefficients