Journal
NONLINEAR DYNAMICS
Volume 85, Issue 2, Pages 1217-1222Publisher
SPRINGER
DOI: 10.1007/s11071-016-2755-8
Keywords
Lump solution; Dimensionally reduced Hirota bilinear equation; Lump dynamics; Symbolic computation
Categories
Funding
- 111 Project of China [B16002]
- National Natural Science Foundation of China [61308018, 11371326, 11271008]
- China Postdoctoral Science Foundation [2014T70031]
- Fundamental Research Funds for the Central Universities of China [2015JBM111]
- Natural Science Foundation of Shanghai [11ZR1414100]
- Zhejiang Innovation Project of China [T200905]
- First-class Discipline of Universities in Shanghai
- Shanghai University Leading Academic Discipline [A13-0101-12-004]
- Shanghai University of Electric Power
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With symbolic computation, two classes of lump solutions to the dimensionally reduced equations in (2+1)-dimensions are derived, respectively, by searching for positive quadratic function solutions to the associated bilinear equations. To guarantee analyticity and rational localization of the lumps, two sets of sufficient and necessary conditions are presented on the parameters involved in the solutions. Localized characteristics and energy distribution of the lump solutions are also analyzed and illustrated.
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