A particle representation for Korteweg–de Vries solitons
DOI10.1063/1.525786zbMath0521.35042OpenAlexW2003415416MaRDI QIDQ3671598
Graham Bowtell, Allan E. G. Stuart
Publication date: 1983
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.525786
nonlinear evolution equationsparticle representationKorteweg-de Vries solitonsclassical many-body problems with two-body forcesduality between fieldskinematics of the poles
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Constructive quantum field theory (81T08) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (5)
Cites Work
- Complex solitons and poles of the sine-Gordon equation
- Analytic structure and explicit solution of an important implicit equation
- Three integrable Hamiltonian systems connected with isospectral deformations
- A system of particles equivalent to solitons
- Korteweg-de Vries equation: a completely integrable Hamiltonian system
- Particle Motions and the Dynamics of Korteweg-de Vries Solitons
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- Integrals of nonlinear equations of evolution and solitary waves
- Model equations for long waves in nonlinear dispersive systems
This page was built for publication: A particle representation for Korteweg–de Vries solitons