Conservation laws and symmetries of generalized sine-Gordon equations
نویسندگان
چکیده
منابع مشابه
Conservation Laws and Symmetries of Generalized Sine- Gordon Equations
We study some systems of non-linear PDE's (Eqs. 1.1 below) which can be regarded either as generalizations of the sine-Gordon equation or as two-dimensional versions of the Toda lattice equations. We show that these systems have an infinite number of non-trivial conservation laws and an infinite number of symmetries. The second result is deduced from the first by a variant of the Hamiltonian fo...
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Equations on curved manifolds display interesting properties in a number of ways. In particular, the symmetries and, therefore, the conservation laws reduce depending on how curved the manifold is. Of particular interest are the wave and Gordon-type equations; we study the symmetry properties and conservation laws of these equations on the Milne and Bianchi type III metrics. Properties of reduc...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1981
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01208894