Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 218, Issue 24, Pages 11871-11879Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2012.05.049
Keywords
Hirota bilinear form; Soliton equation; Multiple wave solution
Categories
Funding
- Natural Science Foundation of Shanghai [09ZR1410800]
- Shanghai Leading Academic Discipline Project [J50101]
- State Administration of Foreign Experts Affairs of China
- Shanghai Jiao Tong University
- National Natural Science Foundation of China [10971136, 10831003, 61072147, 11071159]
- Chunhui Plan of the Ministry of Education of China
- Ministry of Science and Innovation of Spain [MTM2009-12670]
- Zhejiang Innovation Project [T200905]
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The multiple exp-function algorithm, as a generalization of Hirota's perturbation scheme, is used to construct multiple wave solutions to the (3 + 1)-dimensional generalized KP and BKP equations. The resulting solutions involve generic phase shifts and wave frequencies containing many existing choices. It is also pointed out that the presented phase shifts for the two considered equations are all not of Hirota type. (C) 2012 Elsevier Inc. All rights reserved.
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