The r-matrix is established for the system associated with the three-wave Interaction equations. Via the r-matrix, 3N functionally independent and involutive integrals of motion are obtained, which shows that the sys...The r-matrix is established for the system associated with the three-wave Interaction equations. Via the r-matrix, 3N functionally independent and involutive integrals of motion are obtained, which shows that the system is completely integrable in the Liouville sense.展开更多
文摘The r-matrix is established for the system associated with the three-wave Interaction equations. Via the r-matrix, 3N functionally independent and involutive integrals of motion are obtained, which shows that the system is completely integrable in the Liouville sense.
