Mbusi, Sivenathi, Muatjetjeja, Ben, Adem, A. R.. (1400). On the exact solutions and conservation laws of a generalized (1+2)-dimensional Jaulent-Miodek equation with a power law nonlinearity. هنرهای کاربردی, 13(1), 1721-1735. doi: 10.22075/ijnaa.2020.20589.2175
Sivenathi Mbusi; Ben Muatjetjeja; A. R. Adem. "On the exact solutions and conservation laws of a generalized (1+2)-dimensional Jaulent-Miodek equation with a power law nonlinearity". هنرهای کاربردی, 13, 1, 1400, 1721-1735. doi: 10.22075/ijnaa.2020.20589.2175
Mbusi, Sivenathi, Muatjetjeja, Ben, Adem, A. R.. (1400). 'On the exact solutions and conservation laws of a generalized (1+2)-dimensional Jaulent-Miodek equation with a power law nonlinearity', هنرهای کاربردی, 13(1), pp. 1721-1735. doi: 10.22075/ijnaa.2020.20589.2175
Mbusi, Sivenathi, Muatjetjeja, Ben, Adem, A. R.. On the exact solutions and conservation laws of a generalized (1+2)-dimensional Jaulent-Miodek equation with a power law nonlinearity. هنرهای کاربردی, 1400; 13(1): 1721-1735. doi: 10.22075/ijnaa.2020.20589.2175

On the exact solutions and conservation laws of a generalized (1+2)-dimensional Jaulent-Miodek equation with a power law nonlinearity

International Journal of Nonlinear Analysis and Applications
مقاله 143، دوره 13، شماره 1، خرداد 2022، صفحه 1721-1735    اصل مقاله (709.07 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20589.2175
نویسندگان
Sivenathi Mbusi1؛ Ben Muatjetjeja2، 3؛ A. R. Adem* 4
1Department of Mathematical Sciences North-West University Private Bag X 2046, Mmabatho 2735 Republic of South Africa
2Department of Mathematical Sciences, North-West University Private Bag X 2046 Mmabatho 2735, Republic of South Africa
3Department of Mathematics Faculty of Science, University of Botswana Private Bag 22, Gaborone, Botswana
4Department of Mathematical Sciences, University of South Africa, UNISA 0003, Republic of South Africa
چکیده
In this paper, a generalized (1+2)-dimensional Jaulent-Miodek equation with a power law nonlinearity is examined, which arises in numerous problems in nonlinear science. The computed conservation laws reside in enormously crucial areas both at the foundations of nonlinear science such as biology, physics and other related areas. Exact solutions are acquired using the Lie symmetry method. In addition to exact solutions, we also present conservation laws. The arbitrary functions in the multipliers lead to infinitely many conservation laws.
کلیدواژه‌ها
A generalized (1+2)-dimensional Jaulent-Miodek equation with a power law nonlinearity؛ Lie symmetry method؛ Conservation laws
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