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J. K. Hunter and J. Scheurle, “Existence of Perturbed Solitary Wave Solutions to a Model Equation for Water Waves,” Physica D: Nonlinear Phenomena, Vol. 32, No. 2, 1988, pp. 253-268. doi:10.1016/0167-2789(88)90054-1

has been cited by the following article:

• TITLE: Existence the Solutions of Some Fifth-Order Kdv Equation by Laplace Decomposition Method

  AUTHORS: Sujit Handibag, B. D. Karande

  KEYWORDS: Laplace Decomposition Method; Nonlinear Partial Differential Equations; Fifth-Order Kdv Equation; The Kawahara Equation

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.1, March 29, 2013

  ABSTRACT: In this paper, we develop a method to calculate numerical and approximate solution of some fifth-order Korteweg-de Vries equations with initial condition with the help of Laplace Decomposition Method (LDM). The technique is based on the application of Laplace transform to some fifth-order Kdv equations. The nonlinear term can easily be handled with the help of Adomian polynomials. We illustrate this technique with the help of four examples and results of the present technique have closed agreement with approximate solutions obtained with the help of (LDM).