Some analytic and series solutions of integrable generalized Broer-Kaup system

Sandeep Malik; Sachin Kumar; Pinki Kumari; Kottakkaran Sooppy Nisar

doi:10.1016/j.aej.2021.12.051

Some analytic and series solutions of integrable generalized Broer-Kaup system

Sandeep Malik
, Sachin Kumar
, Pinki Kumari
, Kottakkaran Sooppy Nisar

Mathematics

Central University of Punjab, Bathinda

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

17 Scopus citations

Abstract

In this article, we have updated the results obtained by Zhang et al. (2019) and derived some certain features of a famous dispersion water wave model, namely, generalized Broer-Kaup (BK) system. First, we have shown the integrability of the model. Then, a combination of Lie classical approach with polynomial type assumption is used to find its series solutions. Additionally, some soliton solutions are derived via tanh-expansion method and Kudryashov method. Also, local conservation laws of the governing model are constructed by Ibragimov method. The results of this study are novel and can be helpful in several scientific fields.

Original language	English
Pages (from-to)	7067-7074
Number of pages	8
Journal	Alexandria Engineering Journal
Volume	61
Issue number	9
DOIs	https://doi.org/10.1016/j.aej.2021.12.051
State	Published - Sep 2022

Keywords

Conservation law
Generalized Broer-Kaup system
Invariant solution
Painlevé Integrability

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10.1016/j.aej.2021.12.051

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title = "Some analytic and series solutions of integrable generalized Broer-Kaup system",

abstract = "In this article, we have updated the results obtained by Zhang et al. (2019) and derived some certain features of a famous dispersion water wave model, namely, generalized Broer-Kaup (BK) system. First, we have shown the integrability of the model. Then, a combination of Lie classical approach with polynomial type assumption is used to find its series solutions. Additionally, some soliton solutions are derived via tanh-expansion method and Kudryashov method. Also, local conservation laws of the governing model are constructed by Ibragimov method. The results of this study are novel and can be helpful in several scientific fields.",

keywords = "Conservation law, Generalized Broer-Kaup system, Invariant solution, Painlev{\'e} Integrability",

author = "Sandeep Malik and Sachin Kumar and Pinki Kumari and Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2021",

year = "2022",

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doi = "10.1016/j.aej.2021.12.051",

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T1 - Some analytic and series solutions of integrable generalized Broer-Kaup system

AU - Malik, Sandeep

AU - Kumar, Sachin

AU - Kumari, Pinki

AU - Nisar, Kottakkaran Sooppy

PY - 2022/9

Y1 - 2022/9

N2 - In this article, we have updated the results obtained by Zhang et al. (2019) and derived some certain features of a famous dispersion water wave model, namely, generalized Broer-Kaup (BK) system. First, we have shown the integrability of the model. Then, a combination of Lie classical approach with polynomial type assumption is used to find its series solutions. Additionally, some soliton solutions are derived via tanh-expansion method and Kudryashov method. Also, local conservation laws of the governing model are constructed by Ibragimov method. The results of this study are novel and can be helpful in several scientific fields.

AB - In this article, we have updated the results obtained by Zhang et al. (2019) and derived some certain features of a famous dispersion water wave model, namely, generalized Broer-Kaup (BK) system. First, we have shown the integrability of the model. Then, a combination of Lie classical approach with polynomial type assumption is used to find its series solutions. Additionally, some soliton solutions are derived via tanh-expansion method and Kudryashov method. Also, local conservation laws of the governing model are constructed by Ibragimov method. The results of this study are novel and can be helpful in several scientific fields.

KW - Conservation law

KW - Generalized Broer-Kaup system

KW - Invariant solution

KW - Painlevé Integrability

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DO - 10.1016/j.aej.2021.12.051

M3 - Article

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SN - 1110-0168

VL - 61

SP - 7067

EP - 7074

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

IS - 9

ER -

Some analytic and series solutions of integrable generalized Broer-Kaup system

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Keywords

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