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- W2768888936 abstract "In this paper, the Lie approximate symmetry analysis is applied to investigate the new exact solutions of the Rayleigh-wave equation. The power series method is employed to solve some of the obtained reduced ordinary differential equations with a small parameter. We yield the new analytical solutions with small parameter which is effectively obtained by the proposed method. The concept of nonlinear self-adjointness is used to construct the conservation laws for Rayleigh-wave equation. It is shown that this equation is approximately nonlinearly self-adjoint and therefore desired conservation laws can be found using appropriate formal Lagrangians." @default.
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- W2768888936 date "2018-03-13" @default.
- W2768888936 modified "2023-10-15" @default.
- W2768888936 title "Approximate symmetry analysis of nonlinear Rayleigh-wave equation" @default.
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- W2768888936 doi "https://doi.org/10.1142/s021988781850055x" @default.
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