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Kang, X.R., Xian, D.Q. and Dai, Z.D. (2016) Symmetry Reductions and Rational Non-Traveling Wave Solutions for the (2 + 1)-D Ablowitz-Kaup-Newell-Segur Equation. International Journal of Numerical Methods for Heat and Fluid Flow, 26, 2331-2339.
https://doi.org/10.1108/HFF-05-2015-0204

has been cited by the following article:

• TITLE: High-Order Soliton Solutions and Hybrid Behavior for the (2 + 1)-Dimensional Konopelchenko-Dubrovsky Equations

  AUTHORS: Xingying Li, Yin Ji

  KEYWORDS: Konopelchenko-Dubrovsky Equations, Hirota Bilinear Method, M-Order Lump Solutions, High-Order Hybrid Solutions, Interaction Behavior

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.7, July 19, 2024

  ABSTRACT: In this paper, the evolutionary behavior of N-solitons for a (2 + 1)-dimensional Konopelchenko-Dubrovsky equations is studied by using the Hirota bilinear method and the long wave limit method. Based on the N-soliton solution, we first study the evolution from N-soliton to T-order ( T=1,2 ) breather wave solutions via the paired-complexification of parameters, and then we get the N-order rational solutions, M-order ( M=1,2 ) lump solutions, and the hybrid behavior between a variety of different types of solitons combined with the parameter limit technique and the paired-complexification of parameters. Meanwhile, we also provide a large number of three-dimensional figures in order to better show the degeneration of the N-soliton and the interaction behavior between different N-solitons.