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Research PapersNo Access

A MULTIPLE RICCATI EQUATIONS RATIONAL-EXPONENT METHOD AND ITS APPLICATION TO WHITHAM–BROER–KAUP EQUATION

School of Science, Lishui University, Lishui 323000, P. R. China

School of Communication and Information Engineering, Shanghai University, Shanghai 200072, P. R. China

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School of Communication and Information Engineering, Shanghai University, Shanghai 200072, P. R. China

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School of Information and Electronic Engineering, Hebei University of Engineering, Handan 056002, P. R. China

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https://doi.org/10.1142/S0217979213500148Cited by:3 (Source: Crossref)

Abstract

According to two dependent solutions to a generalized Riccati equation together with the equation itself, a multiple Riccati equations rational-exponent method is proposed and applied to Whitham–Broer–Kaup equation. It shows that this method is a more concise and efficient approach and can uniformly derive many types of combined solutions to nonlinear partial differential equations.

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Journal cover image

Vol. 27, No. 06

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History

Received 19 August 2009

Revised 14 September 2009

Accepted 26 September 2009

Published: 15 January 2013

Keywords