Zhang, H., Zong, J., Tian, G. and Wei, G. (2024) Analysis of High-Order Bright-Dark Rogue Waves in (2 + 1)-D Variable-Coefficient Zakharov Equation via Self-Similar and Darboux Transformations. Mathematics, 12, Article 1359.
https://doi.org/10.3390/math12091359

has been cited by the following article:

• TITLE: Diversity of Soliton Structures in (2 + 1)-Dimensional BKP Equation with Variable Coefficients

  AUTHORS: Keke Chen, Meiling Duan

  KEYWORDS: Variable Coefficients, Hirota’s Bilinear Method, Soliton Structures, Interaction Behavior

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.10, October 28, 2025

  ABSTRACT: The study derives the Hirota bilinear form for a variable-coefficient (2 + 1)-dimensional BKP equation and constructs N-soliton, M-lump, and mixed lump-soliton solutions. By testing four representative time-dependent coefficient sets, the authors visualise how α( t ) , β( t ) and δ( t ) shape the spatial patterns of solitons and lumps. The work emphasises the richer structural diversity and evolution pathways that arise when coefficients vary with time.