Perturbation of Solitary Waves and Shock Waves with Dispersion Triplet

Lakhveer Kaur; Yakup Yildirim; Ahmed H. Arnous; Luminita Moraru; Aymen Mohammed Khodayer Al-Dulaimi; Amer Shaker Mahmood; Anjan Biswas

doi:10.37256/cm.6320256967

Perturbation of Solitary Waves and Shock Waves with Dispersion Triplet

Lakhveer Kaur
, Yakup Yildirim
, Ahmed H. Arnous
, Luminita Moraru
, Aymen Mohammed Khodayer Al-Dulaimi
, Amer Shaker Mahmood
, Anjan Biswas

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

Abstract

This paper recovers the solitary waves and shock waves from perturbed shallow water wave dynamics. The governing models considered are the KdV equation and the mKdV equation. The integration method is the G^′/G-expansion method. The numerical simulations supplement the analytical results for such waves.

Original language	English
Pages (from-to)	3715-3742
Number of pages	28
Journal	Contemporary Mathematics (Singapore)
Volume	6
Issue number	3
DOIs	https://doi.org/10.37256/cm.6320256967
Publication status	Published - 2025
Externally published	Yes

Keywords

G/G-expansion
shock waves
solitary waves

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10.37256/cm.6320256967

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title = "Perturbation of Solitary Waves and Shock Waves with Dispersion Triplet",

abstract = "This paper recovers the solitary waves and shock waves from perturbed shallow water wave dynamics. The governing models considered are the KdV equation and the mKdV equation. The integration method is the G′/G-expansion method. The numerical simulations supplement the analytical results for such waves.",

keywords = "G/G-expansion, shock waves, solitary waves",

author = "Lakhveer Kaur and Yakup Yildirim and Arnous, \{Ahmed H.\} and Luminita Moraru and Al-Dulaimi, \{Aymen Mohammed Khodayer\} and Mahmood, \{Amer Shaker\} and Anjan Biswas",

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AU - Kaur, Lakhveer

AU - Yildirim, Yakup

AU - Arnous, Ahmed H.

AU - Moraru, Luminita

AU - Al-Dulaimi, Aymen Mohammed Khodayer

AU - Mahmood, Amer Shaker

AU - Biswas, Anjan

PY - 2025

Y1 - 2025

N2 - This paper recovers the solitary waves and shock waves from perturbed shallow water wave dynamics. The governing models considered are the KdV equation and the mKdV equation. The integration method is the G′/G-expansion method. The numerical simulations supplement the analytical results for such waves.

AB - This paper recovers the solitary waves and shock waves from perturbed shallow water wave dynamics. The governing models considered are the KdV equation and the mKdV equation. The integration method is the G′/G-expansion method. The numerical simulations supplement the analytical results for such waves.

KW - G/G-expansion

KW - shock waves

KW - solitary waves

UR - https://www.scopus.com/pages/publications/105009090019

U2 - 10.37256/cm.6320256967

DO - 10.37256/cm.6320256967

M3 - Article

AN - SCOPUS:105009090019

SN - 2705-1064

VL - 6

SP - 3715

EP - 3742

JO - Contemporary Mathematics (Singapore)

JF - Contemporary Mathematics (Singapore)

IS - 3

ER -

Perturbation of Solitary Waves and Shock Waves with Dispersion Triplet

Abstract

Keywords

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