More Solutions of Coupled Whitham-Broer-Kaup Equations

摘要

abstract_textpThe similarity transformations method has been applied to get invariant solutions of the coupled system of Whitham-Broer-Kaup equations. Seven different classes of similarity solutions are derived by using Lie similarity reduction process. The solutions involve invariants which are mixing of time and space variables. Numerical simulation is performed to accomplish the physical relevance of profiles in each case. Eventually, different explicit solutions have been derived by assuming suitable values of arbitrary constants involved in the infinitesimals./p/abstract_text