Abstract
A new system is generated from a multi-linear form of a (2+1)-dimensional Volterra system. Though the system is only partially integrable and needs additional conditions to possess two-soliton solutions, its (1+1)-dimensional reduction gives an integrable equation which has been studied via reduction skills. Here, we give this (1+1)-dimensional reduction a simple bilinear form, from which a Bäcklund transformation is derived and the corresponding nonlinear superposition formula is built.
Original language | English |
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Pages (from-to) | 1085-1097 |
Number of pages | 13 |
Journal | Frontiers of Mathematics in China |
Volume | 8 |
Issue number | 5 |
DOIs | |
Publication status | Published - Oct 2013 |
Scopus Subject Areas
- Mathematics (miscellaneous)
User-Defined Keywords
- Bäcklund transformation (BT)
- Integrability
- nonlinear superposition formula
- soliton solution