Rational solutions of a class of hydrodynamic partial differential equations via the variational iteration method

Authors

Jomel C. Imperio ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

In this paper the variational iteration method (VIM) is applied to a class of partial differential equations, which include as special cases the Burgers, Korteweg-de Vries, and Kawahara-Korteweg-de Vries equations. A general form of exact rational solutions of these equations is obtained. This study highlights the simplicity and efficiency of the VIM. The rational solutions are obtained directly and in a straightforward manner.

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Issue

2008: Proceedings of the 26th Samahang Pisika ng Pilipinas Physics Congress

Taking physics to the summit
22-24 October 2008, University of the Philippines Baguio, Baguio City

Article ID

SPP-2008-PB-21

Section

Poster Session B (Instrumentation, Environmental, and Theoretical Physics)

Published

2008-10-22

How to Cite

[1]

JC Imperio and JP Esguerra, Rational solutions of a class of hydrodynamic partial differential equations via the variational iteration method, Proceedings of the Samahang Pisika ng Pilipinas 26, SPP-2008-PB-21 (2008). URL: https://proceedings.spp-online.org/article/view/SPP-2008-PB-21.