Soliton solutions in an integrable chiral model in \(2+1\) dimensions. (English) Zbl 0644.58038
There is a modified SU(2) chiral model in \(2+1\) dimensions which is integrable. It admits multisoliton solutions, in which the solitons move at constant velocity, and pass through one another without scattering or changing shape.
MSC:
| 58Z05 | Applications of global analysis to the sciences |
| 37J35 | Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 35Q99 | Partial differential equations of mathematical physics and other areas of application |
| 58J50 | Spectral problems; spectral geometry; scattering theory on manifolds |
References:
| [1] | Zakharov V. E., Sov. Phys. JETP 47 pp 1017– (1978) |
| [2] | DOI: 10.1007/BF01200109 · doi:10.1007/BF01200109 |
| [3] | DOI: 10.1007/BF00420705 · doi:10.1007/BF00420705 |
| [4] | DOI: 10.1016/0550-3213(86)90005-2 · doi:10.1016/0550-3213(86)90005-2 |
| [5] | DOI: 10.1016/0370-2693(85)90445-9 · doi:10.1016/0370-2693(85)90445-9 |
| [6] | DOI: 10.1016/0550-3213(83)90354-1 · doi:10.1016/0550-3213(83)90354-1 |
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