A Canonical Transformation for Equation of the Form φ_<xt>=h(φ)
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概要
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For evolution equation $,=#(/), a canonical transformation which keepsthe Hamiltonian form invariant is investigated. It is shown that the canonicaltransformation of this tvr>e exists, if /z(<6) is linear or A:c(<3)=u"A(<3), where u is aconstant, and that a restricted BMck1und transformation proposed by McLaughIinand Scott is a canonical transformation. For such nonlinearities, for examplethe sine-Gordon type #($)=sin jtcfi, the canonical transformations are explicitlyconstructed and are used to display nonlinear interactions. A relationship be-tween the condition A$$($)=#"/7(<3) and the existence of an infinite number ofconservation laws are discussed from the view point of the theory of the canonicaltransformation. These results will be clarify the dynamical significance of theBlcklund transformation and the soliton phenomena.
- 社団法人日本物理学会の論文
- 1977-03-15
著者
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Kodama Yuji
Department Of Mathematics Clarkson College Of Technology
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Kodama Yuji
Department Of Electrical Engineering Faculty Of Engineering Science Osaka University
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