Group Classification of a Higher-Order Boussinesq Equation

29 Jun 2020  ·  Hasanoğlu Yasin, Özemir Cihangir ·

We consider a family of higher-order Boussinesq equations with an arbitrary nonlinearity. We determine the classes of equations so that a certain type of Lie symmetry algebra is admitted in this family... In case of a quadratic nonlinearity we provide several exact solutions, some of which are in terms of elliptic functions. read more

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Exactly Solvable and Integrable Systems Analysis of PDEs