Multi-Symplectic Fourier PseudospectralMethod for the Kawahara Equation
نویسندگان
چکیده
In this paper, we derive a multi-symplectic Fourier pseudospectral scheme for the Kawahara equation with special attention to the relationship between the spectral differentiationmatrix and discrete Fourier transform. The relationship is crucial for implementing the scheme efficiently. By using the relationship, we can apply the Fast Fourier transform to solve the Kawahara equation. The effectiveness of the proposed methods will be demonstrated by a number of numerical examples. The numerical results also confirm that the global energy and momentum are well preserved. AMS subject classifications: 65M06, 65M70, 65T50, 65Z05, 70H15
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