A note on the solution of perturbed Korteweg–de Vries equation

摘要

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 assumes a solitary wave solution with decaying amplitude in time.