Optical solutions to a conformable fractional extended KdV model equation

• Published in: Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters Vol. 8; p. 100562
• Main Author: Eslami, Mostafa
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2023; Elsevier
• Subjects: fractional plasma model; Korteweg-de Vries(K-dV) equation; transformed rational function method; fractional plasma model; Korteweg-de Vries(K-dV) equation; transformed rational function method
• ISSN: 2666-8181; 2666-8181
• DOI: 10.1016/j.padiff.2023.100562

In this paper, we intend to obtain the extended Korteweg-de Vries(K-dV) equation in the following Dταφ1+λ32[32λ4−(C2(1−f)+D2fσ2)]Dξ2αφ1+λ32(52λ6−C3(1−f)−fσ3D3)(Dξαφ1)3+λ32Dξ3αφ1=0 by 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.