Solitons, Breathers, and Lump Solutions to the (2 + 1)‐Dimensional Generalized Calogero–Bogoyavlenskii–Schiff Equation
Hongcai Ma, Qiaoxin Cheng, Aiping Deng
Abstract
In this paper, a generalized (2 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton solution, breather solutions, and lump solutions, are obtained. Breathers can be obtained by choosing suitable parameters on the 2‐soliton solution, and lump solutions are constructed via the long wave limit method. Figures are given out to reveal the dynamic characteristics on the presented solutions. Results obtained in this work may be conducive to understanding the propagation of localized waves.
Topics & Concepts
BreatherBilinear interpolationLimit (mathematics)SolitonBilinear formWork (physics)One-dimensional spaceSymbolic computationMathematicsTraveling waveMathematical physicsMathematical analysisPhysicsNonlinear systemQuantum mechanicsStatisticsNonlinear Waves and SolitonsBiological Activity of Diterpenoids and BiflavonoidsAlgebraic structures and combinatorial models