期刊
REPORTS ON MATHEMATICAL PHYSICS
卷 72, 期 1, 页码 41-56出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0034-4877(14)60003-3
关键词
bilinear equation; resonant solution; Bell polynomials
资金
- State Administration of Foreign Experts Affairs of China
- National Natural Science Foundation of China [11271008, 61072147, 11071159]
- First-class Discipline of Universities in Shanghai
- Shanghai Univ. Leading Academic Discipline Project [A.13-0101-12-004]
- Chunhui Plan of the Ministry of Education of China
- Natural Science Foundation of Shanghai [09ZR1410800]
- Shanghai Leading Academic Discipline Project [J50101]
A class of bilinear differential operators is introduced by assigning specific signs to derivatives. The corresponding bilinear differential equations, containing Hirota bilinear equations as particular examples, are characterized by Bell polynomials. Resonant solutions of exponential waves are analyzed via recognizing the superposition principle using Bell polynomials. Two illustrative examples are computed by an algorithm adopting weights of dependent variables.
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