Journal
NONLINEAR DYNAMICS
Volume 87, Issue 4, Pages 2305-2310Publisher
SPRINGER
DOI: 10.1007/s11071-016-3190-6
Keywords
Lump solution; Bilinear equations; (2+1)-dimensional Sawada-Kotera equation
Categories
Funding
- Shanghai Leading Academic Discipline Project [XTKX2012]
- Technology Research and Development Program of University of Shanghai for Science and Technology
- Hujiang Foundation of China [B14005]
- National Natural Science Foundation of China [11201302, 11371326, 11371323, 11271008, 11371086]
- National Natural Science Foundation of China
- Natural Science Foundation of Shanghai [11ZR1414100]
- Zhejiang Innovation Project of China [T200905]
- First-class Discipline of Universities in Shanghai
- Shanghai University Leading Academic Discipline Project [A13-0101-12-004]
- Distinguished Professorships of Shanghai University of Electric Power and Shanghai Second Polytechnic University
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In this paper, via generalized bilinear forms, we consider the ()-dimensional bilinear p-Sawada-Kotera (SK) equation. We derive analytical rational solutions in terms of positive quadratic functions. Through applying the dependent transformation, we present a class of lump solutions of the ()-dimensional SK equation. Those rationally decaying solutions in all space directions exhibit two kinds of characters, i.e., bright lump wave (one peak and two valleys) and bright-dark lump wave (one peak and one valley). In addition, we also obtain three families of bright-dark lump wave solutions to the nonlinear p-SK equation for .
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