|
|
|
|
double reduction of the gibbons-tsarev equation using admitted lie point symmetries and associated conservation laws
|
|
|
|
|
|
|
|
نویسنده
|
sinkala winter ,kakuli charles m. ,aziz taha ,aziz asim
|
|
منبع
|
international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 2 - صفحه:713 -721
|
|
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.
|
|
کلیدواژه
|
double reduction ,gibbons-tsarev equation ,lie symmetry analysis ,conservation law ,invariant solution ,multiplier method
|
|
آدرس
|
walter sisulu university, faculty of natural sciences, department of mathematical sciences and computing, south africa, walter sisulu university, faculty of natural sciences, department of mathematical sciences and computing, south africa, king fahd university of petroleum and minerals, dammam community college, interdisciplinary research center for hydrogen and energy storage, department of mathematics, saudi arabia, national university of sciences and technology, college of electrical and mechanical engineering, pakistan
|
|
پست الکترونیکی
|
asimazizmalik@outlook.com
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|