Author(s)

Lixiao Zhai, Junxiao Zhao

School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China.

The (2 + 1)-dimensional Korteweg de Vries (KdV) equation, which was first derived by Boiti et al., has been studied by various distinct methods. It is known that this (2 + 1)-dimensional KdV equation has rich solutions, such as multi-soliton solutions and dromion solutions. In the present article, a unified representation of its N-soliton solution is given by means of pfaffian. We’ll show that this (2 + 1)-dimensional KdV equation is nothing but the Plücker identity when its τ-function is given by pfaffian.

The (2 + 1)-Dimensional Korteweg de Vries Equation, Hirota Bilinear Method, Pfaffian, Plücker Identity

Zhai, L. and Zhao, J. (2016) The Pfaffian Technique: A (2 + 1)-Dimensional Korteweg de Vries Equation. Journal of Applied Mathematics and Physics, 4, 1930-1935. doi: 10.4236/jamp.2016.410195.