Journal
NONLINEAR DYNAMICS
Volume 70, Issue 3, Pages 1889-1901Publisher
SPRINGER
DOI: 10.1007/s11071-012-0581-1
Keywords
(2+1)-dimensional variable-coefficient breaking soliton model; Painleve analysis; Multi-linear variable separation; Backlund transformation; Analytic localized solitonic excitations
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Funding
- National Natural Science Foundation of China [11272023, 61072145]
- State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications)
- State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics [SKLSDE-2012ZX-10, SKLSDE-2011KF-03]
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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.
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