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 journalArticlepeer-review

4 Citations (Scopus)


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 languageEnglish
Article number3647
JournalApplied Sciences (Switzerland)
Issue number7
Publication statusPublished - 1 Apr 2022
Externally publishedYes


  • constraints
  • multipliers
  • traveling waves


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