2014•Theoretical and Applied Mechanics LettersOpen access

Wronskian and Grammian solutions for the (2+1)-dimensional BKP equation

Yaning Tang, Yanna Chen, Lei Wang

Abstract

The (2 + 1)-dimensional BKP equation in the Hirota bilinear form is studied during this work. Wronskian and Grammian techniques are applied to the construction of Wronskian and Grammian solutions of this equation, respectively. It is shown that these solutions can be expressed as not only Pfaffians but also Wronskians and Grammians.

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Key concepts: Wronskian, Gramian matrix, Pfaffian, Mathematics, Bilinear form, Bilinear interpolation, Applied mathematics, Mathematical analysis