Shallow Water Waves and Conservation Laws with Dispersion Triplet

Applied Sciences

Anjan Biswas¹  Luminita Moraru²  Catalina Iticescu²  Simona Moldovanu³  Yakup Yıldırım⁴  Salam Khan⁵  Nyah Coleman⁵  Abdul H. Kara⁶ 

[1] Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia;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;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;

关键词: traveling waves;    multipliers;    constraints;   

DOI  :  10.3390/app12073647

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown