期刊
FRONTIERS OF PHYSICS IN CHINA
卷 4, 期 2, 页码 235-240出版社
HIGHER EDUCATION PRESS
DOI: 10.1007/s11467-009-0046-2
关键词
multi-linear variable separation approach (MLVSA); multi-linear variable separation solution (MLVSS); universal formula
资金
- National Natural Science Foundation of China [10735030, 90503006]
- National Basic Research Program of China (973 program) [2007CB814800]
- Specialized Research Fund for the Doctoral Program of Higher Education [20070248120]
- Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT) [IRT0734]
- SRF
The multi-linear variable separation approach is reviewed in this article. The method has been recently established and successfully solved a large number of nonlinear systems. One of the most exciting findings is that the basic multi-linear variable separation solution can be expressed by a universal formula including two (1+1)-dimensional functions, and at least one is arbitrary for integrable systems. Furthermore, the method has been extended in two different ways so as to enroll more low dimensional functions in the solution.
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