Article citationsMore>>

Hirota, R. and Satsuma, J. (1976) N-Soliton Solutions of Model Equations for Shallow Water Waves. Journal of the Physical Society of Japan, 40, 611-612.
http://dx.doi.org/10.1143/JPSJ.40.611

has been cited by the following article:

• 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.