Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system

Xiaorui Hu; Yuqi Li

doi:10.1016/j.aml.2015.07.004

Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system

Xiaorui Hu^*
, Yuqi Li

^*Corresponding author for this work

School of Mathematical Sciences

Zhejiang University of Technology

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

41 Scopus citations

Abstract

The truncated Painlevé expansion is developed to construct Bäcklund transformations and nonlocal symmetries of the Bogoyavlenskii coupled KdV (BcKdV) system. The Schwarzian form of BcKdV system is found while the nonlocal symmetry is localized to offer the corresponding nonlocal group. Furthermore, the BcKdV system is verified to have a consistent Riccati expansion (CRE). Stemming from the consistent tan-function expansion (CTE), which is a special form of CRE, the soliton-cnoidal wave solutions are explicitly studied.

Original language	English
Pages (from-to)	20-26
Number of pages	7
Journal	Applied Mathematics Letters
Volume	51
DOIs	https://doi.org/10.1016/j.aml.2015.07.004
State	Published - 1 Aug 2016

Keywords

Bäcklund transformation
Exact interaction solutions
Nonlocal symmetry
Painlevé expansion

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10.1016/j.aml.2015.07.004

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title = "Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system",

abstract = "The truncated Painlev{\'e} expansion is developed to construct B{\"a}cklund transformations and nonlocal symmetries of the Bogoyavlenskii coupled KdV (BcKdV) system. The Schwarzian form of BcKdV system is found while the nonlocal symmetry is localized to offer the corresponding nonlocal group. Furthermore, the BcKdV system is verified to have a consistent Riccati expansion (CRE). Stemming from the consistent tan-function expansion (CTE), which is a special form of CRE, the soliton-cnoidal wave solutions are explicitly studied.",

keywords = "B{\"a}cklund transformation, Exact interaction solutions, Nonlocal symmetry, Painlev{\'e} expansion",

author = "Xiaorui Hu and Yuqi Li",

year = "2016",

month = aug,

day = "1",

doi = "10.1016/j.aml.2015.07.004",

language = "英语",

volume = "51",

pages = "20--26",

journal = "Applied Mathematics Letters",

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T1 - Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system

AU - Hu, Xiaorui

AU - Li, Yuqi

PY - 2016/8/1

Y1 - 2016/8/1

N2 - The truncated Painlevé expansion is developed to construct Bäcklund transformations and nonlocal symmetries of the Bogoyavlenskii coupled KdV (BcKdV) system. The Schwarzian form of BcKdV system is found while the nonlocal symmetry is localized to offer the corresponding nonlocal group. Furthermore, the BcKdV system is verified to have a consistent Riccati expansion (CRE). Stemming from the consistent tan-function expansion (CTE), which is a special form of CRE, the soliton-cnoidal wave solutions are explicitly studied.

AB - The truncated Painlevé expansion is developed to construct Bäcklund transformations and nonlocal symmetries of the Bogoyavlenskii coupled KdV (BcKdV) system. The Schwarzian form of BcKdV system is found while the nonlocal symmetry is localized to offer the corresponding nonlocal group. Furthermore, the BcKdV system is verified to have a consistent Riccati expansion (CRE). Stemming from the consistent tan-function expansion (CTE), which is a special form of CRE, the soliton-cnoidal wave solutions are explicitly studied.

KW - Bäcklund transformation

KW - Exact interaction solutions

KW - Nonlocal symmetry

KW - Painlevé expansion

UR - https://www.scopus.com/pages/publications/84938614131

U2 - 10.1016/j.aml.2015.07.004

DO - 10.1016/j.aml.2015.07.004

M3 - 文章

AN - SCOPUS:84938614131

SN - 0893-9659

VL - 51

SP - 20

EP - 26

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system

Abstract

Keywords

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