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Classification of qt=P(x, t, q, qx, qxx)

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The classification of qt=P(x, t, q, qx, qxx) is given by using linearization. Two types of integrable equations which are generalizations of the integrable equations of Fokas and Svinolupov are given. Results are compared with Fokas's symmetry and the Mikhailov–Shabat–Sokolov formal symmetry approaches.
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Keywords: Fundamental functions; biorthogonal wavelets; dual functions; interpolatory subdivision scheme; refinable functions

Document Type: Original Article

Affiliations: Middle East Technical University, Ankara, Turkey

Publication date: February 1, 1999

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