TITLE:
The Pfaffian Technique: A (2 + 1)-Dimensional Korteweg de Vries Equation
AUTHORS:
Lixiao Zhai, Junxiao Zhao
KEYWORDS:
The (2 + 1)-Dimensional Korteweg de Vries Equation, Hirota Bilinear Method, Pfaffian, Plücker Identity
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.10,
October
27,
2016
ABSTRACT: 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.