Shallow Water Waves and Conservation Laws with Dispersion Triplet

Anjan Biswas; Nyah Coleman; Abdul H. Kara; Salam Khan; Luminita Moraru; Simona Moldovanu; Catalina Iticescu; Yakup Yıldırım

doi:10.3390/app12073647

Shallow Water Waves and Conservation Laws with Dispersion Triplet

Anjan Biswas, Nyah Coleman, Abdul H. Kara, Salam Khan, Luminita Moraru^*, Simona Moldovanu, Catalina Iticescu, Yakup Yıldırım

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

This paper secures solitary waves and conservation laws to the familiar Korteweg–de Vries equation and Gardner’s equation with three dispersion sources. The traveling wave hypothesis leads to the emergence of such waves. The three sources of dispersion are spatial dispersion, spatio– temporal dispersion and the dual-emporal–spatial dispersion. The conservation laws are enumerated for these models, evolved from the multiplier approach. The conserved quantities are computed with the solitary wave solutions that were recovered.

Original language	English
Article number	3647
Journal	Applied Sciences (Switzerland)
Volume	12
Issue number	7
DOIs	https://doi.org/10.3390/app12073647
Publication status	Published - 1 Apr 2022
Externally published	Yes

Keywords

constraints
multipliers
traveling waves

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10.3390/app12073647

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title = "Shallow Water Waves and Conservation Laws with Dispersion Triplet",

abstract = "This paper secures solitary waves and conservation laws to the familiar Korteweg–de Vries equation and Gardner{\textquoteright}s equation with three dispersion sources. The traveling wave hypothesis leads to the emergence of such waves. The three sources of dispersion are spatial dispersion, spatio– temporal dispersion and the dual-emporal–spatial dispersion. The conservation laws are enumerated for these models, evolved from the multiplier approach. The conserved quantities are computed with the solitary wave solutions that were recovered.",

keywords = "constraints, multipliers, traveling waves",

author = "Anjan Biswas and Nyah Coleman and Kara, {Abdul H.} and Salam Khan and Luminita Moraru and Simona Moldovanu and Catalina Iticescu and Yakup Yıldırım",

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AU - Biswas, Anjan

AU - Coleman, Nyah

AU - Kara, Abdul H.

AU - Khan, Salam

AU - Moraru, Luminita

AU - Moldovanu, Simona

AU - Iticescu, Catalina

AU - Yıldırım, Yakup

PY - 2022/4/1

Y1 - 2022/4/1

N2 - This paper secures solitary waves and conservation laws to the familiar Korteweg–de Vries equation and Gardner’s equation with three dispersion sources. The traveling wave hypothesis leads to the emergence of such waves. The three sources of dispersion are spatial dispersion, spatio– temporal dispersion and the dual-emporal–spatial dispersion. The conservation laws are enumerated for these models, evolved from the multiplier approach. The conserved quantities are computed with the solitary wave solutions that were recovered.

AB - This paper secures solitary waves and conservation laws to the familiar Korteweg–de Vries equation and Gardner’s equation with three dispersion sources. The traveling wave hypothesis leads to the emergence of such waves. The three sources of dispersion are spatial dispersion, spatio– temporal dispersion and the dual-emporal–spatial dispersion. The conservation laws are enumerated for these models, evolved from the multiplier approach. The conserved quantities are computed with the solitary wave solutions that were recovered.

KW - constraints

KW - multipliers

KW - traveling waves

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U2 - 10.3390/app12073647

DO - 10.3390/app12073647

M3 - Article

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VL - 12

JO - Applied Sciences (Switzerland)

JF - Applied Sciences (Switzerland)

IS - 7

M1 - 3647

ER -

Shallow Water Waves and Conservation Laws with Dispersion Triplet

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Keywords

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