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- W1943646543 startingPage "1029" @default.
- W1943646543 abstract "For evolution equation φ x t = h (φ), a canonical transformation which keeps the Hamiltonian form invariant is investigated. It is shown that the canonical transformation of this type exists, if h (φ) is linear or h φφ (φ)=µ 2 h (φ), where µ is a constant, and that a restricted Bäcklund transformation proposed by McLaughlin and Scott is a canonical transformation. For such nonlinearities, for example the sine-Gordon type h (φ)=sin µφ, the canonical transformations are explicitly constructed and are used to display nonlinear interactions. A relationship between the condition h φφ (φ)=µ 2 h (φ) and the existence of an infinite number of conservation laws are discussed from the view point of the theory of the canonical transformation. These results will be clarify the dynamical significance of the Bäcklund transformation and the soliton phenomena." @default.
- W1943646543 created "2016-06-24" @default.
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- W1943646543 date "1977-03-01" @default.
- W1943646543 modified "2023-09-26" @default.
- W1943646543 title "A Canonical Transformation for Equation of the Form φxt=h(φ)" @default.
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- W1943646543 doi "https://doi.org/10.1143/jpsj.42.1029" @default.
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