Journal
NONLINEAR DYNAMICS
Volume 89, Issue 3, Pages 2233-2240Publisher
SPRINGER
DOI: 10.1007/s11071-017-3581-3
Keywords
Backlund transformation; Nonresonant multiple wave solutions; Lump solution; Symbolic computation
Categories
Funding
- Open Fund of IPOC (BUPT) [IPOC2016B008]
- Project of National Innovation and Entrepreneurship Training Program for College Students [170170007]
- National Natural Science Foundation of China [11371326, 11271008]
- 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 Professorship at Shanghai University of Electric Power
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In this paper, a (3+1)-dimensional nonlinear evolution equation is cast into Hirota bilinear form with a dependent variable transformation. A bilinear Backlund transformation is then presented, which consists of six bilinear equations and involves nine arbitrary parameters. With multiple exponential function method and symbolic computation, nonresonant-typed one-, two-, and three-wave solutions are obtained. Furthermore, two classes of lump solutions to the dimensionally reduced cases with y = x and y = z are both derived. Finally, some figures are given to reveal the propagation of multiple wave solutions and lump solutions.
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