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- Katharine M. Case
- Proceedings of the National Academy of Sciencesâ€¦
- 1978

A theorem is deduced that reduces the problem of finding the N-soliton solution of the Benjamin-One equation to that of solving an algebraic equation of degree N.

- Katharine M. Case
- Proceedings of the National Academy of Sciencesâ€¦
- 1979

It is shown that the Benjamin-Ono equation is one of a hierarchy of nonlinear partial differential singular integral equations. Explicit multisoliton solutions are constructed for all equations ofâ€¦ (More)

A neutrino theory of spin-zero particles of zero mass is constructed in terms of bilinear neutrino operators. The restrictions of a two-component neutrino theory are shown to reduce the possibleâ€¦ (More)

- Katharine M. Case, A M Roos
- Proceedings of the National Academy of Sciencesâ€¦
- 1981

Many nonlinear equations arising in plasma physics, hydrodynamics, and solid-state physics can be written in Hamiltonian form. The full advantage of this is achieved only when the existence ofâ€¦ (More)

- Rafael D. Benguria, Katharine M. Case
- Proceedings of the National Academy of Sciencesâ€¦
- 1980

A class of BÃ¤cklund transformations for multidimensional sine-Gordon equations is shown to relate solutions of only one- and two-dimensional equations. Also, a proposed superposition principle isâ€¦ (More)

- R E Aamodt, Katharine M. Case

A typical translationally invariant linear transport problem for a half-space is solved by the eigenfunction method. Using some derived identities for the solution of the associated homogeneousâ€¦ (More)

- Katharine M. Case
- Proceedings of the National Academy of Sciencesâ€¦
- 1985

Elucidating earlier work, it is shown that the Kadomtsev-Petviashvili equation has n + 2 constants for all n >/= 0. It also has a pseudo-constant from which the constants can be obtained byâ€¦ (More)

- Katharine M. Case, Natalia M. Vega, Ramesh C. Gupta, Michelle A. Lasher, Terry D. Canerdy
- Front. Vet. Sci.
- 2016

Dogs are easily infested with fleas, ticks, and other ectoparasites serving as vectors for transmitting bacterial, viral, and parasitic diseases. Therefore, the use of ectoparasiticides is inevitableâ€¦ (More)

- Katharine M. Case
- Proceedings of the National Academy of Sciencesâ€¦
- 1980

Conserved densities for Hamiltonian systems are shown to satisfy simple linear equations. These are essentially the original equations linearized around a particular solution. A number of examplesâ€¦ (More)

- Katharine M. Case
- Proceedings of the National Academy of Sciencesâ€¦
- 1984

A simple theorem in Hamiltonian mechanics is pointed out. One consequence is a generalization of the classical result that symmetries are generated by Poisson brackets of conserved functionals.â€¦ (More)