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Benney–Lin and Kawahara equations: a detailed study through Lie symmetries and Painlevé analysis

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We perform a detailed study on the integrability of the Benney-Lin and KdV-Kawahara equations by using the Lie symmetry analysis and the singularity analysis. We find that the equations under… Click to show full abstract

We perform a detailed study on the integrability of the Benney-Lin and KdV-Kawahara equations by using the Lie symmetry analysis and the singularity analysis. We find that the equations under our consideration admit integrable travelling-wave solutions. The singularity analysis is applied for the partial differential equations and the generic algebraic solution is presented.

Keywords: kawahara equations; analysis; detailed study; benney lin

Journal Title: Physica Scripta
Year Published: 2019

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