Shock Waves and Singular Solitary Waves for the Perturbed Cubic Boussinesq Equation

Lakhveer Kaur; Omer Mohammed Khodayer Al-Dulaimi; Farag Mahel Mohammed; Ahmed H. Arnous; Yakup Yildirim; Luminita Moraru; Anjan Biswas

doi:10.37256/cm.6520257040

Shock Waves and Singular Solitary Waves for the Perturbed Cubic Boussinesq Equation

Lakhveer Kaur
, Omer Mohammed Khodayer Al-Dulaimi
, Farag Mahel Mohammed
, Ahmed H. Arnous
, Yakup Yildirim^*
, Luminita Moraru
, Anjan Biswas

^*Corresponding author for this work

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

Abstract

This paper recovers the shock waves and solitary wave solutions of the perturbed newly-proposed cubic Boussinesq equation. The integration scheme is the G^′/G-expansion. The perturbation terms arise in various physical features in shallow water wave dynamics. The solutions are listed along with the parameter constraints for the existence of such solutions.

Original language	English
Pages (from-to)	5968-6056
Number of pages	89
Journal	Contemporary Mathematics (Singapore)
Volume	6
Issue number	5
DOIs	https://doi.org/10.37256/cm.6520257040
Publication status	Published - 2025
Externally published	Yes

Keywords

76B25
integrability
parameter constraints 08
shock waves

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10.37256/cm.6520257040

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title = "Shock Waves and Singular Solitary Waves for the Perturbed Cubic Boussinesq Equation",

abstract = "This paper recovers the shock waves and solitary wave solutions of the perturbed newly-proposed cubic Boussinesq equation. The integration scheme is the G′/G-expansion. The perturbation terms arise in various physical features in shallow water wave dynamics. The solutions are listed along with the parameter constraints for the existence of such solutions.",

keywords = "76B25, integrability, parameter constraints 08, shock waves",

author = "Lakhveer Kaur and Al-Dulaimi, \{Omer Mohammed Khodayer\} and Mohammed, \{Farag Mahel\} and Arnous, \{Ahmed H.\} and Yakup Yildirim and Luminita Moraru and Anjan Biswas",

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AU - Kaur, Lakhveer

AU - Al-Dulaimi, Omer Mohammed Khodayer

AU - Mohammed, Farag Mahel

AU - Arnous, Ahmed H.

AU - Yildirim, Yakup

AU - Moraru, Luminita

AU - Biswas, Anjan

PY - 2025

Y1 - 2025

N2 - This paper recovers the shock waves and solitary wave solutions of the perturbed newly-proposed cubic Boussinesq equation. The integration scheme is the G′/G-expansion. The perturbation terms arise in various physical features in shallow water wave dynamics. The solutions are listed along with the parameter constraints for the existence of such solutions.

AB - This paper recovers the shock waves and solitary wave solutions of the perturbed newly-proposed cubic Boussinesq equation. The integration scheme is the G′/G-expansion. The perturbation terms arise in various physical features in shallow water wave dynamics. The solutions are listed along with the parameter constraints for the existence of such solutions.

KW - 76B25

KW - integrability

KW - parameter constraints 08

KW - shock waves

UR - https://www.scopus.com/pages/publications/105016116948

U2 - 10.37256/cm.6520257040

DO - 10.37256/cm.6520257040

M3 - Article

AN - SCOPUS:105016116948

SN - 2705-1064

VL - 6

SP - 5968

EP - 6056

JO - Contemporary Mathematics (Singapore)

JF - Contemporary Mathematics (Singapore)

IS - 5

ER -

Shock Waves and Singular Solitary Waves for the Perturbed Cubic Boussinesq Equation

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Keywords

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