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

• 作者: B. D. Karande Sujit Handibag
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: LAPLACE Decomposition Method Nonlinear PARTIAL Differential Equations Fifth-Order KDV EQUATION The Kawahara EQUATION
• 年，卷（期）: 2013,（1）
• 页码范围: 80-85
• 页数: 6页
• 分类号: O1

摘要

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).