Lie group technique for solving differential-difference equations is applied to a new (2+1)-dimensional Toda-like lattice. An infinite dimensional Lie algebra and the corresponding commutation relations are obtained.
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
The variable separation approach method is very useful to solving (2+ 1 )-dimensional integrable systems. But the (1+1)-dimensional and (3+ 1 )-dimensional nonlinear systems are considered very little. In this letter,...The variable separation approach method is very useful to solving (2+ 1 )-dimensional integrable systems. But the (1+1)-dimensional and (3+ 1 )-dimensional nonlinear systems are considered very little. In this letter, we extend this method to (1+1) dimensions by taking the Redekopp system as a simple example and (3+1)-dimensional Burgers system. The exact solutions are much general because they include some arbitrary functions and the form of the (3+ 1 )-dimensional universal formula obtained from many (2+ 1 )-dimensional systems is extended.展开更多
In this letter, starting from a B?cklund transformation, a general solution of a (2+1)-dimensional integrable system is obtained by using the new variable separation approach.
In this Letter, using Backlund transformation and the new variable separation approach, we find a new general solution to the (3+1)-dimensional Burgers equation. The form of the universal formula obtained from many (2...In this Letter, using Backlund transformation and the new variable separation approach, we find a new general solution to the (3+1)-dimensional Burgers equation. The form of the universal formula obtained from many (2+1)-dimensional systems is extended. Abundant localized coherent structures can be found by seclecting corresponding functions appropriately.展开更多
文摘Lie group technique for solving differential-difference equations is applied to a new (2+1)-dimensional Toda-like lattice. An infinite dimensional Lie algebra and the corresponding commutation relations are obtained.
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.
文摘The variable separation approach method is very useful to solving (2+ 1 )-dimensional integrable systems. But the (1+1)-dimensional and (3+ 1 )-dimensional nonlinear systems are considered very little. In this letter, we extend this method to (1+1) dimensions by taking the Redekopp system as a simple example and (3+1)-dimensional Burgers system. The exact solutions are much general because they include some arbitrary functions and the form of the (3+ 1 )-dimensional universal formula obtained from many (2+ 1 )-dimensional systems is extended.
文摘In this letter, starting from a B?cklund transformation, a general solution of a (2+1)-dimensional integrable system is obtained by using the new variable separation approach.
文摘In this Letter, using Backlund transformation and the new variable separation approach, we find a new general solution to the (3+1)-dimensional Burgers equation. The form of the universal formula obtained from many (2+1)-dimensional systems is extended. Abundant localized coherent structures can be found by seclecting corresponding functions appropriately.
