Teo, H. T.Jeng, D. S.Seymour, B. R.Barry, D. A.Li, L.2005-12-092005-12-09200310.1016/j.advwatres.2003.08.004https://infoscience.epfl.ch/handle/20.500.14299/221178The Boussinesq equation appears as the zeroth-order term in the shallow water flow expansion of the non-linear equation describing the flow of fluid in an unconfined aquifer. One-dimensional models based on the Boussinesq equation have been used to analyse tide-induced water table fluctuations in coastal aquifers. Previous analytical solutions for a sloping beach are based on the perturbation parameter, epsilon(N) = alphaepsilon cot beta (in which beta is the beach slope, alpha is the amplitude parameter and epsilon is the shallow water parameter) and are limited to tan(-1) (alphaepsilon) much less than beta less than or equal to pi/2. In this paper, a new higher-order solution to the non- linear boundary value problem is derived. The results demonstrate the significant influence of the higher-order components and beach slope on the water table fluctuations.Hydraulic conductivityMoving boundaryCoastal aquiferGroundwater dynamicsAnalytical solutiontext::journal::journal article::research article