Dynamics of shallow water waves with kawahara equation

Soumaya El-Akrmi; Salah Toumi; Abdulssetar El-Akrmi; Pablo Suarez; Houria Triki; Anjan Biswas; Milivoj R. Belic

doi:10.1166/jctn.2015.4686

Dynamics of shallow water waves with kawahara equation

Soumaya El-Akrmi^*, Salah Toumi, Abdulssetar El-Akrmi, Pablo Suarez, Houria Triki, Anjan Biswas, Milivoj R. Belic

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

This paper studies the dynamics of shallow water waves modeled by Kawahara equation. The focus of this paper is to extract solitary waves, shock waves and other solutions supported by this equation. There are four integration schemes implemented in this paper. The analytical results are all supplemented with numerical simulations.

Original language	English
Pages (from-to)	5577-5586
Number of pages	10
Journal	Journal of Computational and Theoretical Nanoscience
Volume	12
Issue number	12
DOIs	https://doi.org/10.1166/jctn.2015.4686
Publication status	Published - Dec 2015
Externally published	Yes

Keywords

Exact solutions
Shallow water
Solitary waves

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10.1166/jctn.2015.4686

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title = "Dynamics of shallow water waves with kawahara equation",

abstract = "This paper studies the dynamics of shallow water waves modeled by Kawahara equation. The focus of this paper is to extract solitary waves, shock waves and other solutions supported by this equation. There are four integration schemes implemented in this paper. The analytical results are all supplemented with numerical simulations.",

keywords = "Exact solutions, Shallow water, Solitary waves",

author = "Soumaya El-Akrmi and Salah Toumi and Abdulssetar El-Akrmi and Pablo Suarez and Houria Triki and Anjan Biswas and Belic, {Milivoj R.}",

note = "Publisher Copyright: {\textcopyright} 2015 American Scientific Publishers.",

year = "2015",

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AU - Toumi, Salah

AU - El-Akrmi, Abdulssetar

AU - Suarez, Pablo

AU - Triki, Houria

AU - Biswas, Anjan

AU - Belic, Milivoj R.

PY - 2015/12

Y1 - 2015/12

N2 - This paper studies the dynamics of shallow water waves modeled by Kawahara equation. The focus of this paper is to extract solitary waves, shock waves and other solutions supported by this equation. There are four integration schemes implemented in this paper. The analytical results are all supplemented with numerical simulations.

AB - This paper studies the dynamics of shallow water waves modeled by Kawahara equation. The focus of this paper is to extract solitary waves, shock waves and other solutions supported by this equation. There are four integration schemes implemented in this paper. The analytical results are all supplemented with numerical simulations.

KW - Exact solutions

KW - Shallow water

KW - Solitary waves

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U2 - 10.1166/jctn.2015.4686

DO - 10.1166/jctn.2015.4686

M3 - Article

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SN - 1546-1955

VL - 12

SP - 5577

EP - 5586

JO - Journal of Computational and Theoretical Nanoscience

JF - Journal of Computational and Theoretical Nanoscience

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ER -

Dynamics of shallow water waves with kawahara equation

Abstract

Keywords

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