Starting from a Backlund transformation and taking a special ansatz for the function f, we can obtain a much more generalexpression of solution that includes some variable separated functions for the higher-order Broe...Starting from a Backlund transformation and taking a special ansatz for the function f, we can obtain a much more generalexpression of solution that includes some variable separated functions for the higher-order Broer-Kaup system. From this expression, we investigate the interactions of localized coherent structures such as the multi-solitonic excitations and find the novel phenomenon that their interactions have non-elastic behavior because the fission/fusion may occur after the interaction of each localized coherent structure.展开更多
In this letter, using a Baecklund transformation and the new variableseparation approach, we find a new general solution of the (N+1)-dimensional Burgers system. Theform of the universal formula obtained from many (2+...In this letter, using a Baecklund transformation and the new variableseparation approach, we find a new general solution of the (N+1)-dimensional Burgers system. Theform of the universal formula obtained from many (2+1)-dimensional system is extended.展开更多
By using a Baecklund transformation and the multi-linear variable separationapproach, we find a new general solution of a (2+1)-dimensional generalization of the nonlinearSchroedinger system. The new 'universal...By using a Baecklund transformation and the multi-linear variable separationapproach, we find a new general solution of a (2+1)-dimensional generalization of the nonlinearSchroedinger system. The new 'universal' formula is defined, and then, rich coherent structures canbe found by selecting corresponding functions appropriately.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
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
文摘Starting from a Backlund transformation and taking a special ansatz for the function f, we can obtain a much more generalexpression of solution that includes some variable separated functions for the higher-order Broer-Kaup system. From this expression, we investigate the interactions of localized coherent structures such as the multi-solitonic excitations and find the novel phenomenon that their interactions have non-elastic behavior because the fission/fusion may occur after the interaction of each localized coherent structure.
文摘In this letter, using a Baecklund transformation and the new variableseparation approach, we find a new general solution of the (N+1)-dimensional Burgers system. Theform of the universal formula obtained from many (2+1)-dimensional system is extended.
文摘By using a Baecklund transformation and the multi-linear variable separationapproach, we find a new general solution of a (2+1)-dimensional generalization of the nonlinearSchroedinger system. The new 'universal' formula is defined, and then, rich coherent structures canbe found by selecting corresponding functions appropriately.
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.
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.
