Symmetric structures and dynamic analysis of a (2+1)-dimensional generalized Benny-Luke equation
Jie Sun,
Qiulan Zhao,
Xinyue Li
Abstract:We study the symmetric structures and dynamic analysis of a (2 + 1)-dimensional generalized Benny-Luke (GBL) equation based on the Lie symmetry method, the GBL equation is an important non-integrable model of water waves. Specifically, we construct multiple exact solutions of the GBL equation and obtain its nonlocally related systems. Firstly, the Lie point symmetries and conservation laws of the GBL equation are computed, and then we get the reduced ordinary differential equation from one of the conservation la… Show more
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