By means of a special Painleve—Baecklund transformation and a multilinearvariable separation approach, an exact solution with arbitrary functions of the (2+1)-dimensionalBoiti-Leon-Pempinelli system (BLP) is derived....By means of a special Painleve—Baecklund transformation and a multilinearvariable separation approach, an exact solution with arbitrary functions of the (2+1)-dimensionalBoiti-Leon-Pempinelli system (BLP) is derived. Based on the derived variable separation solution, weobtain some special soliton fission and fusion solutions for the higher dimensional BLP system.展开更多
The multi-linear variable separation approach method is very useful to solve (2+1)-dimensional integrable systems. In this letter, we extend this method to solve (1+1)-dimensional Boiti system, (2+1)-dimensional Burge...The multi-linear variable separation approach method is very useful to solve (2+1)-dimensional integrable systems. In this letter, we extend this method to solve (1+1)-dimensional Boiti system, (2+1)-dimensional Burgers system, (2+1)-dimensional breaking soliton system, and (2+1)-dimensional Maccari system. Some new exact solutions are obtained and the universal formula obtained from many (2+1)-dimensional systems is extended or modified.展开更多
基金国家自然科学基金，the Scientific Research Fund of Educational Department of Zhejiang Province of China under，浙江省自然科学基金
文摘By means of a special Painleve—Baecklund transformation and a multilinearvariable separation approach, an exact solution with arbitrary functions of the (2+1)-dimensionalBoiti-Leon-Pempinelli system (BLP) is derived. Based on the derived variable separation solution, weobtain some special soliton fission and fusion solutions for the higher dimensional BLP system.
文摘The multi-linear variable separation approach method is very useful to solve (2+1)-dimensional integrable systems. In this letter, we extend this method to solve (1+1)-dimensional Boiti system, (2+1)-dimensional Burgers system, (2+1)-dimensional breaking soliton system, and (2+1)-dimensional Maccari system. Some new exact solutions are obtained and the universal formula obtained from many (2+1)-dimensional systems is extended or modified.
