Three-Dimensional Solitons
19786 pages
Published in:
- J.Math.Phys. 19 (1978) 1068-1073
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Abstract: (AIP)
Using an inverse Radon transform we generate an integro–differential evolution equation in three space dimensions that has soliton solutions which vanish at large distances in all directions. The equation is of second order in time and invariant under translations and rotations. The shapes of the solitons are generally changed by their nonlocal interactions, but their number and velocities are conserved. The method lends itself to other equations.- MATHEMATICAL METHODS
- FIELD EQUATIONS: THREE-DIMENSIONAL
- FIELD EQUATIONS: SOLITON
- FIELD EQUATIONS: NONLINEAR
- Korteweg-de Vries equation
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