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Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

- N. Zabusky, M. Kruskal
- Physics
- 9 August 1965

Method for solving the Korteweg-deVries equation

- C. S. Gardner, J. M. Greene, M. Kruskal, R. Miura
- Physics
- 6 November 1967

A method for solving the initial-value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant sufficiently rapidly as… Expand

An energy principle for hydromagnetic stability problems

- I. Bernstein, E. Frieman, M. Kruskal, R. Kulsrud
- PhysicsProceedings of the Royal Society of London…
- 25 February 1958

The problem of the stability of static, highly conducting, fully ionized plasmas is investigated by means of an energy principle developed from one introduced by Lundquist. The derivation of the… Expand

Korteweg‐de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

- R. Miura, C. S. Gardner, M. Kruskal
- Mathematics
- 1 August 1968

With extensive use of the nonlinear transformations presented in Paper I of the series, a variety of conservation laws and constants of motion are derived for the Korteweg‐de Vries and related… Expand

Exact Nonlinear Plasma Oscillations

- I. Bernstein, J. M. Greene, M. Kruskal
- Physics
- 1 November 1957

The problem of a one-dimensional stationary nonlinear electrostatic wave in a plasma free from interparticle collisions is solved exactly by elementary means. It is demonstrated that, by adding… Expand

New similarity reductions of the Boussinesq equation

- P. A. Clarkson, M. Kruskal
- Mathematics
- 1 October 1989

Some new similarity reductions of the Boussinesq equation, which arises in several physical applications including shallow water waves and also is of considerable mathematical interest because it is… Expand

Korteweg-devries equation and generalizations. VI. methods for exact solution

- C. S. Gardner, J. M. Greene, M. Kruskal, R. Miura
- Mathematics
- 1974

Kink dynamics in the highly discrete sine-Gordon system

- M. Peyrard, M. Kruskal
- Mathematics
- 1 December 1984

Abstract We study kink dynamics in a very discrete sine-Gordon system where the kink width is of the order of the lattice spacing. Numerical simulations exhibit new properties of kinks in this case:… Expand

Equilibrium of a Magnetically Confined Plasma in a Toroid

- M. Kruskal, R. Kulsrud
- Materials Science, Physics
- 31 October 1958

A variety of properties are derived satisfied by any static equilibrium of a plasma governed by the well‐known magnetostatic equations. Some of these are local and quite trivial. Others involve… Expand

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