Abstract
In this paper, we intend to obtain the extended Korteweg-de Vries(K-dV) equation in the followingDταφ1+λ32[32λ4−(C2(1−f)+D2fσ2)]Dξ2αφ1+λ32(52λ6−C3(1−f)−fσ3D3)(Dξαφ1)3+λ32Dξ3αφ1=0by using the reductive perturbation approach and we explore solutions of this equation using the generalized exponential rational function method. The answers obtained in this study are new and have not been reported so far.
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