Article citationsMore>>

Gilson, C.R., Nimmo, J.J.C. and Willox, R. (1993) A (2 + 1)-Dimensional Generalization of the AKNS Shallow Water Wave Equation. Physics Letters A, 180, 337-345.

has been cited by the following article:

• TITLE: The Rational Solutions and the Interactions of the N-Soliton Solutions for Boiti-Leon-Manna-Pempinelli-Like Equation

  AUTHORS: Xiuxiu Liu, Huanhe Dong, Yong Zhang, Xin Chen

  KEYWORDS: Rational Solution, Generalized Bilinear Method, BLMP-Like Equation, N-Soliton Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.3, March 31, 2017

  ABSTRACT: These rational solutions which can be described a kind of algebraic solitary waves which have great potential in applied value in atmosphere and ocean. It has attracted more and more attention recently. In this paper, the generalized bilinear method instead of the Hirota bilinear method is used to obtain the rational solutions to the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli-like equation (hereinafter referred to as BLMP equation). Meanwhile, the (2 + 1)-dimensional BLMP-like equation is derived on the basis of the generalized bilinear operators D3,x D3,y and D3,t. And the rational solutions to the (2 + 1)-dimensional BLMP-like equation are obtained successively. Finally, with the help of the N-soliton solutions of the (2 + 1)-dimensional BLMP equation, the interactions of the N-soliton solutions can be derived. The results show that the two soliton still maintained the original waveform after happened collision.