A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system

Qi Wang; Yong Chen

doi:10.1016/j.chaos.2005.08.153

A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system

Qi Wang^*
, Yong Chen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

To construct exact solutions of nonlinear partial differential equation, a multiple Riccati equations rational expansion method (MRERE) is presented and a series of novel solutions of the Broer-Kaup-Kupershmidt system are found. The novel solutions obtained by MRERE method include solutions of hyperbolic (solitary) function and triangular periodic functions appearing at the same time.

Original language	English
Pages (from-to)	197-203
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	30
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2005.08.153
State	Published - Oct 2006
Externally published	Yes

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title = "A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system",

abstract = "To construct exact solutions of nonlinear partial differential equation, a multiple Riccati equations rational expansion method (MRERE) is presented and a series of novel solutions of the Broer-Kaup-Kupershmidt system are found. The novel solutions obtained by MRERE method include solutions of hyperbolic (solitary) function and triangular periodic functions appearing at the same time.",

author = "Qi Wang and Yong Chen",

year = "2006",

month = oct,

doi = "10.1016/j.chaos.2005.08.153",

language = "英语",

volume = "30",

pages = "197--203",

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issn = "0960-0779",

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T1 - A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system

AU - Wang, Qi

AU - Chen, Yong

PY - 2006/10

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N2 - To construct exact solutions of nonlinear partial differential equation, a multiple Riccati equations rational expansion method (MRERE) is presented and a series of novel solutions of the Broer-Kaup-Kupershmidt system are found. The novel solutions obtained by MRERE method include solutions of hyperbolic (solitary) function and triangular periodic functions appearing at the same time.

AB - To construct exact solutions of nonlinear partial differential equation, a multiple Riccati equations rational expansion method (MRERE) is presented and a series of novel solutions of the Broer-Kaup-Kupershmidt system are found. The novel solutions obtained by MRERE method include solutions of hyperbolic (solitary) function and triangular periodic functions appearing at the same time.

UR - https://www.scopus.com/pages/publications/33646162650

U2 - 10.1016/j.chaos.2005.08.153

DO - 10.1016/j.chaos.2005.08.153

M3 - 文章

AN - SCOPUS:33646162650

SN - 0960-0779

VL - 30

SP - 197

EP - 203

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 1

ER -

A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system

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