Analytic localized solitonic excitations for the (2+1)-dimensional variable-coefficient breaking soliton model in fluids and plasmas

作者：Sun Fu Wei^*; Cai Jiu Xian; Gao Yi Tian

来源：Nonlinear Dynamics, 2012, 70(3): 1889-1901.

DOI：10.1007/s11071-012-0581-1

• (2+1)-dimensional variable-coefficient breaking soliton model
• Painleve analysis
• Multi-linear variable separation
• Backlund transformation
• Analytic localized solitonic excitations

In this paper, via the Painlev, analysis and multi-linear variable separation, the (2+1)-dimensional variable-coefficient breaking soliton model in certain fluids and plasmas is investigated, with the Backlund transformation and analytic solutions presented explicitly. With those solutions, four kinds of the localized solitonic excitations are obtained, as the multi-shock-lump, multi-instanton, saddle-type-multiple-ring-soliton, and single-loop- breather structures. Figures indicate that the shapes, velocities, and propagation paths of those four kinds are affected by the variable coefficients, yielding the dynamic features, elastic interactions, parallel propagations, and periodic propagation of the analytic bound localized solitonic excitations.

• 出版日期2012-11
• 单位北京航空航天大学; 北方工业大学