On Symmetry Analysis and Conservation Laws of the AKNS System
2016 ◽
Vol 71
(8)
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pp. 741-750
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AbstractThe Lie symmetry analysis is applied to study the Ablowitz–Kaup–Newell–Segur (AKNS) system of water wave model. The AKNS system can be obtained from a dispersive-wave system via a variable transformation. Lie point symmetries and corresponding point transformations are determined. The optimal system of one-dimensional subalgebras is presented. On the basis of the optimal system, the similarity reductions and the invariant solutions are obtained. Some conservation laws are derived using the multipliers. In addition, the AKNS system is quasi self-adjoint. The conservation laws associated with the symmetries are also constructed.
2015 ◽
Vol 2015
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pp. 1-7
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2017 ◽
Vol 72
(3)
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pp. 269-279
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2021 ◽
Vol 94
◽
pp. 105560
Keyword(s):
Keyword(s):