Abstract
In the present course of study, we examine a family of Boussinesq equations of distinct structures and dimensions. We investigate the complete integrability of these equations via Painlevé test. Real and complex multiple soliton solutions, for each considered model, are derived by mode of simplified Hirota’s method. Moreover, exponential expansion method has been employed to each equation, resulting into soliton solutions possessing rich spatial structure due to the presence of abundant arbitrary constants.
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Wazwaz, AM., Kaur, L. New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions. Nonlinear Dyn 97, 83–94 (2019). https://doi.org/10.1007/s11071-019-04955-1
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DOI: https://doi.org/10.1007/s11071-019-04955-1