Article citationsMore>>

Peng, Y.Z. (2010) A New (2 + 1)-Dimensional KdV Equation and Its Localized Structures. Communications in Theoretical Physics, 54, 863-865.
https://doi.org/10.1088/0253-6102/54/5/17

has been cited by the following article:

• TITLE: Exact Solutions for (2 + 1)-Dimensional KdV-Calogero-Bogoyavlenkskii-Schiff Equation via Symbolic Computation

  AUTHORS: Yan Li, Temuer Chaolu

  KEYWORDS: (2 + 1)-Dimensional KdV-Calogero-Bogoyavlenkskii-Schiff Equation, Trilinear Equation, Exact Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.2, January 20, 2020

  ABSTRACT: This paper constructs exact solutions for the (2 + 1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation with the help of symbolic computation. By means of the truncated Painlev expansion, the (2 + 1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation can be written as a trilinear equation, through the trilinear-linear equation, we can obtain the explicit representation of exact solutions for the (2 + 1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation. We have depicted the profiles of the exact solutions by presenting their three-dimensional plots and the corresponding density plots.