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Indexed by:期刊论文

Date of Publication:2008-11-01

Journal:INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL

Included Journals:SCIE

Volume:11

Issue:6

Page Number:713-722

ISSN No.:1343-4500

Key Words:exact solution; generalized KdV equation with variable coefficients; Riccati equation

Abstract:In this paper, the nonlinear transformation is introduced into the KdV equation with space-dependent coefficients and then a generalized KdV equation is obtained. This generalized equation shares the same constitutive relation with the wave function in water of variable depth. Furthermore, the exact rational solutions of this equation under certain conditions is given by using a newly general Riccati equation expansion method.