(2+1)-Dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation

Bo Tian; He Li; Yi Tian Gao

doi:10.1007/s00033-005-3021-y

(2+1)-Dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation

Bo Tian^*
, He Li
, Yi Tian Gao

^*Corresponding author for this work

School of Aeronautic Science and Engineering

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

26 Scopus citations

Abstract

The Broer-Kaup system is among the important integrable models for the shallow water waves. For a (2+1)-dimensional Broer-Kaup system and with symbolic computation, we present some similarity solutions, which are expressible in terms of the Jacobian elliptic functions and second Painlevé transcendent. Our results are in agreement with the Painlevé conjecture.

Original language	English
Pages (from-to)	783-790
Number of pages	8
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	56
Issue number	5
DOIs	https://doi.org/10.1007/s00033-005-3021-y
State	Published - Sep 2005

Keywords

Broer-Kaup system
Similarity solutions
Symbolic computation
Water waves

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10.1007/s00033-005-3021-y

Cite this

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abstract = "The Broer-Kaup system is among the important integrable models for the shallow water waves. For a (2+1)-dimensional Broer-Kaup system and with symbolic computation, we present some similarity solutions, which are expressible in terms of the Jacobian elliptic functions and second Painlev{\'e} transcendent. Our results are in agreement with the Painlev{\'e} conjecture.",

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AU - Tian, Bo

AU - Li, He

AU - Gao, Yi Tian

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Y1 - 2005/9

N2 - The Broer-Kaup system is among the important integrable models for the shallow water waves. For a (2+1)-dimensional Broer-Kaup system and with symbolic computation, we present some similarity solutions, which are expressible in terms of the Jacobian elliptic functions and second Painlevé transcendent. Our results are in agreement with the Painlevé conjecture.

AB - The Broer-Kaup system is among the important integrable models for the shallow water waves. For a (2+1)-dimensional Broer-Kaup system and with symbolic computation, we present some similarity solutions, which are expressible in terms of the Jacobian elliptic functions and second Painlevé transcendent. Our results are in agreement with the Painlevé conjecture.

KW - Broer-Kaup system

KW - Similarity solutions

KW - Symbolic computation

KW - Water waves

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U2 - 10.1007/s00033-005-3021-y

DO - 10.1007/s00033-005-3021-y

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ER -

(2+1)-Dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation

Abstract

Keywords

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