Abstract:In this paper, we are concerned with arbitrarily high-order momentum-preserving and energy-preserving schemes for solving the generalized Rosenau-type equation, respectively. The derivation of the momentum-preserving schemes is made within the symplectic Runge-Kutta method, coupled with the standard Fourier pseudospectral method in space. Unlike the momentum-preserving scheme, the energypreserving one relies on the use of the quadratic auxiliary variable approach and the symplectic Runge-Kutta method, as well … Show more
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