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- Title
Shallow Water Waves and Conservation Laws with Dispersion Triplet.
- Authors
Biswas, Anjan; Coleman, Nyah; Kara, Abdul H.; Khan, Salam; Moraru, Luminita; Moldovanu, Simona; Iticescu, Catalina; Yıldırım, Yakup
- 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.
- Subjects
WATER conservation; WATER waves; CONSERVATION laws (Physics); WATER depth; KORTEWEG-de Vries equation; PHOSPHORESCENCE
- Publication
Applied Sciences (2076-3417), 2022, Vol 12, Issue 7, p3647
- ISSN
2076-3417
- Publication type
Article
- DOI
10.3390/app12073647