Journal Article10.1016/0031-8914(72)90073-0
Canonical transformations and generating functionals
Ljf Lambert Broer,JA Kobussen +1 more
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TL;DR: In this article, it was shown that canonical transformations for field variables in hamiltonian partial differential equations can be obtained from generating functionals in the same way as classical canonical transformations from generating functions.
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About: This article is published in Physica D: Nonlinear Phenomena. The article was published on 15 Sep 1972. The article focuses on the topics: Canonical transformation & Canonical coordinates.
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Citations
An explicit Hamiltonian formulation of surface waves in water of finite depth
TL;DR: In this article, a variational formulation of water waves is developed, based on the Hamiltonian theory of surface waves, and an exact and unified description of the two-dimensional problem in the vertical plane is obtained in the form of a Hamiltonian functional, expressed in terms of surface quantities as canonical variables.
47
Potential waves in one dimension
Ljf Lambert Broer,Scm Backerra +1 more
TL;DR: In this article, it was shown that wave equations admit an infinity of local conservation laws with densities and fluxes depending on the fields only, and a close relation between this set of conserved quantities and solutions of the hodograph equations has been found.
8
Point transformations and diastrophic point transformations
TL;DR: In this paper, the general unitary diastrophic point transformations are defined and the corresponding superselection rules are built up for the relativistic potential problem, and examples of physical interest are discussed.
5
Numerical analysis of time-dependent Boussinesq models
TL;DR: In this article, the authors analyse numerical models for time-dependent Boussinesq equations, which arise when so-called BousSinesq terms are introduced into the shallow water equations.
References
On some solutions of the wave equation
TL;DR: In this paper, the wave equation in terms of series of integrals is simplified by means of an operator formalism and the equivalence of series solutions given by Bremmer and Broer is easily proved.
11
On a unique continuum representation for the linear chain problem
Ljf Lambert Broer,Mfh Schuurmans +1 more
TL;DR: An exact unique unique continuum representation for the one-dimensional linear chain problem has been constructed in this paper, and some aspects of intermediate approximations are discussed in Section 2.1.
5
Über die Zuordnung zwischen lnvarianzeigenschaften und Erhaltungssätzen
TL;DR: In this paper, a systematic classification of local conservation laws and current vectors is given, based on functional criteria, and the results obtained are used in an attempt to shed some light on the problem of the electromagnetic field in the HEISENBERG nonlinear spinor theory.