A note on the solution of perturbed Korteweg-de Vries equation
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CitationDemiray, H. (2002). A note on the solution of perturbed Korteweg–de vries equation. Applied Mathematics and Computation, 132(2-3), 643-647. doi:10.1016/S0096-3003(01)00222-3
In this work, utilizing the hyperbolic tangent method, a travelling wave solution is presented for the perturbed Korteweg-de Vries (KdV) equation, which was studied before by inverse scattering [Elements of soliton theory, Wiley, New York, 1980] and perturbation [Wave Motion 14 (1991) 85] methods. It is observed that the perturbed KdV equation still assume, a solitary wave solution with decaying amplitude in time.