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Double reduction of the Gibbons-Tsarev equation using admitted Lie point symmetries and associated conservation laws | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 62، دوره 13، شماره 2، مهر 2022، صفحه 713-721 اصل مقاله (401.12 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25829.3136 | ||
| نویسندگان | ||
| Winter Sinkala* 1؛ Charles M. Kakuli1؛ Taha Aziz2؛ Asim Aziz3 | ||
| 1Department of Mathematical Sciences and Computing, Faculty of Natural Sciences, Walter Sisulu University, Private Bag X1, Mthatha 5117, Republic of South Africa | ||
| 2Department of Mathematics, Dammam Community College, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia | ||
| 3College of Electrical and Mechanical Engineering, National University of Sciences and Technology, Rawalpindi, 46070, Pakistan | ||
| تاریخ دریافت: 17 دی 1400، تاریخ پذیرش: 23 فروردین 1401 | ||
| چکیده | ||
| In this article, the double reduction method is used to find solutions to a (1+1) nonlinear partial differential equation that arises in the theory of dispersionless integrable systems. Four nontrivial conservation laws of the equation are constructed via the multiplier method, based on a particular form of admitted multipliers. Two of the constructed conservation laws are found to have associated Lie point symmetries and are utilised to construct invariant solutions. | ||
| کلیدواژه‌ها | ||
| Double reduction؛ Gibbons-Tsarev Equation؛ Lie symmetry analysis؛ Conservation law؛ Invariant solution؛ Multiplier method | ||
| مراجع | ||
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