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Generalized double sinh-Gordon equation: Symmetry reductions, exact solutions and conservation laws | ||
| Iranian Journal of Science | ||
| مقاله 7، دوره 39، شماره 3، آذر 2015، صفحه 289-296 اصل مقاله (439.92 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2015.3153 | ||
| نویسندگان | ||
| G. Magalakwe1؛ B. Muatjetjeja2؛ C. M. Khalique* 3 | ||
| 1School of Computer, Statistical and Mathematical Sciences, North-West University, Potchefstroom Campus, Private Bag X 2520, Republic of South Africa | ||
| 2International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa | ||
| 3International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa | ||
| چکیده | ||
| This paper aims to study a generalized double sinh-Gordon equation, which appears in several physical phenomena such as integrable quantum field theory, kink dynamics and fluid dynamics. Lie symmetry analysis together with the simplest equation method is used to obtain exact solutions for this equation. Moreover, we derive conservation laws for the equation by using two different approaches, namely, the direct method and the new conservation theorem due to Ibragimov. | ||
| کلیدواژهها | ||
| Generalized double sinh-Gordon equation؛ Lie symmetry analysis؛ simplest equation method؛ conservation laws | ||
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