Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation

Anjan Biswas; Jose Vega-Guzman; Anupma Bansal; Abdul H. Kara; Maggie Aphane; Yakup Yıldırım; Hashim M. Alshehri

doi:10.3176/proc.2023.1.03

Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation

Anjan Biswas^*, Jose Vega-Guzman, Anupma Bansal, Abdul H. Kara, Maggie Aphane, Yakup Yıldırım, Hashim M. Alshehri

^*Corresponding author for this work

Mathematics and Applied Mathematics

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

1 Citation (Scopus)

Abstract

This paper secures solitary waves, shock waves and singular solitary waves for the Boussinesq equation, which is studied with the inclusion of surface tension. The method of undetermined coefficients has yielded such waves. The Lie symmetry analysis has introduced a fresh perspective to the model. Conserved densities and corresponding conserved quantities are computed using the multiplier approach.

Original language	English
Pages (from-to)	17-29
Number of pages	13
Journal	Proceedings of the Estonian Academy of Sciences
Volume	72
Issue number	1
DOIs	https://doi.org/10.3176/proc.2023.1.03
Publication status	Published - 2023

Keywords

Lie symmetry
conservation laws
solitary waves
surface tension

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10.3176/proc.2023.1.03

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abstract = "This paper secures solitary waves, shock waves and singular solitary waves for the Boussinesq equation, which is studied with the inclusion of surface tension. The method of undetermined coefficients has yielded such waves. The Lie symmetry analysis has introduced a fresh perspective to the model. Conserved densities and corresponding conserved quantities are computed using the multiplier approach.",

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AU - Biswas, Anjan

AU - Vega-Guzman, Jose

AU - Bansal, Anupma

AU - Kara, Abdul H.

AU - Aphane, Maggie

AU - Yıldırım, Yakup

AU - Alshehri, Hashim M.

PY - 2023

Y1 - 2023

N2 - This paper secures solitary waves, shock waves and singular solitary waves for the Boussinesq equation, which is studied with the inclusion of surface tension. The method of undetermined coefficients has yielded such waves. The Lie symmetry analysis has introduced a fresh perspective to the model. Conserved densities and corresponding conserved quantities are computed using the multiplier approach.

AB - This paper secures solitary waves, shock waves and singular solitary waves for the Boussinesq equation, which is studied with the inclusion of surface tension. The method of undetermined coefficients has yielded such waves. The Lie symmetry analysis has introduced a fresh perspective to the model. Conserved densities and corresponding conserved quantities are computed using the multiplier approach.

KW - Lie symmetry

KW - conservation laws

KW - solitary waves

KW - surface tension

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U2 - 10.3176/proc.2023.1.03

DO - 10.3176/proc.2023.1.03

M3 - Article

AN - SCOPUS:85150153632

SN - 1736-6046

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SP - 17

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JO - Proceedings of the Estonian Academy of Sciences

JF - Proceedings of the Estonian Academy of Sciences

IS - 1

ER -

Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation

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Keywords

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