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Publications
Mohapatra, S.C. and Guedes Soares, C. (2015), “Comparative solutions of the coupled Boussinesq equations in shallow water”, Maritime Technology and Engineering, Guedes Soares, C. & Santos T.A. (Eds.), Taylor & Francis Group, London, UK, pp. pp. 947-954
The exact solitary wave solutions of one-dimensional nonlinear Boussinesq equations under shallow water condition over variable depth are described. The solitary wave solutions of one-dimensional and coupled nonlinear Boussinesq equations are obtained using the hyperbolic tangent method by considering only the equation of motion in shallow water. Further, the exact solutions of generalized coupled nonlinear Boussinesq equations are obtained based on first integral method. To understand the behaviour of the solitary wave solutions, several numerical results are analysed in different cases.
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