Nonlinear Superposition Formulas Based on Lie Group SO(n+1,n)

Details Nonlinear Superposition Formulas Based on Lie Group SO(n+1,n) Nonlinear Superposition Formulas Based on Lie Group SO(n+1,n)

2000-08-17

arxiv.org/abs/nlin/0008019v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, LaTeX

Scientific paper

Systems of nonlinear ordinary differential equations are constructed, for which the general solution is algebraically expressed in terms of a finite number of particular solutions. Expressions of that type are called the nonlinear superposition formulas. These systems are connected with local Lie groups tranformations on their homogeneous spaces. In the presented work the nonlinear superposition formulas are constructed for the case of the SO(3,2) group and some aspects in the general case of SO(n+1,n) are studied.

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