journal article·2022-04-05Open access

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

Applied Sciences· Volume 12· Issue 7

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.
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Research context

OpenAlex topics: Nonlinear Waves and Solitons · Ocean Waves and Remote Sensing · Nonlinear Photonic Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia

Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201 Galati, Romania

Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa

Department of Physics, Chemistry and Mathematics, Alabama A & M University, Normal, AL 35762, USA

School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits, Johannesburg 2050, South Africa

Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania

Department of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania

Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, Cyprus

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