Analytical analysis of the fourth-order Boussinesq equation by traveling wave solutions

Jamil Abbas Haider; Noor Muhammad; Sohail Nadeem; Saleem Asghar

doi:10.1142/S0217979223501709

Analytical analysis of the fourth-order Boussinesq equation by traveling wave solutions

Jamil Abbas Haider^*
, Noor Muhammad
, Sohail Nadeem
, Saleem Asghar

^*Corresponding author for this work

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

18 Scopus citations

Abstract

To find periodic solutions of nonlinear equations, the Jacobi elliptic function expansion method is used. This strategy is more extensive than expanding the hyperbolic tangent series. This approach can produce periodic shock wave solutions such as solitary wave solutions.

Original language	English
Article number	2350170
Journal	International Journal of Modern Physics B
Volume	37
Issue number	17
DOIs	https://doi.org/10.1142/S0217979223501709
State	Published - 10 Jul 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023 World Scientific Publishing Company.

Keywords

Boussinesq equation
Jacobi elliptic function
nonlinear equations
travelling wave solution

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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10.1142/S0217979223501709

Cite this

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title = "Analytical analysis of the fourth-order Boussinesq equation by traveling wave solutions",

abstract = "To find periodic solutions of nonlinear equations, the Jacobi elliptic function expansion method is used. This strategy is more extensive than expanding the hyperbolic tangent series. This approach can produce periodic shock wave solutions such as solitary wave solutions.",

keywords = "Boussinesq equation, Jacobi elliptic function, nonlinear equations, travelling wave solution",

author = "Haider, \{Jamil Abbas\} and Noor Muhammad and Sohail Nadeem and Saleem Asghar",

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AU - Haider, Jamil Abbas

AU - Muhammad, Noor

AU - Nadeem, Sohail

AU - Asghar, Saleem

PY - 2023/7/10

Y1 - 2023/7/10

N2 - To find periodic solutions of nonlinear equations, the Jacobi elliptic function expansion method is used. This strategy is more extensive than expanding the hyperbolic tangent series. This approach can produce periodic shock wave solutions such as solitary wave solutions.

AB - To find periodic solutions of nonlinear equations, the Jacobi elliptic function expansion method is used. This strategy is more extensive than expanding the hyperbolic tangent series. This approach can produce periodic shock wave solutions such as solitary wave solutions.

KW - Boussinesq equation

KW - Jacobi elliptic function

KW - nonlinear equations

KW - travelling wave solution

UR - https://www.scopus.com/pages/publications/85144539266

U2 - 10.1142/S0217979223501709

DO - 10.1142/S0217979223501709

M3 - Article

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VL - 37

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

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ER -

Analytical analysis of the fourth-order Boussinesq equation by traveling wave solutions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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