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- W2124241259 abstract "where φ is an arbitrary smooth function and ω = ω(x) is the absolute invariant of some three-dimensional subgroup of the Poincare group P (1, 3). As a result, one gets ordinary differential equation (ODE) for a function φ(ω). That is why, the term “reduction” is used: a number of dependent and independent variables is decreased. On the other hand, there are examples of ansatzes reducing one nonlinear partial differential equation (PDE) to two or even to three equations [4]. Such procedure leads to an increase of the number of dependent variables and is called an “antireduction” [4]. In the present paper we suggest a regular approach to the anti-reduction of the nonlinear differential equation (1). Consider the ansatz" @default.
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- W2124241259 date "2003-01-01" @default.
- W2124241259 modified "2023-09-27" @default.
- W2124241259 title "Anti-reduction of the nonlinear wave equation" @default.
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