Gerdjikov, V. S. (2015) On Kaup-Kupershchmidt–type equations and their soliton solutions. Il nuovo cimento C, 38 (5). pp. 1-19. ISSN 1826-9885
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Abstract
We start with the Lax representation for the Kaup-Kupersschmidt equation (KKE). We outline the deep relation between the scalar Lax operator and the matrix Lax operators related to Kac-Moody algebras. Then we derive the MKdV equations gauge equivalent to the KKE. Next we outline the symmetry and the spectral properties of the relevant Lax operator. Using the dressing Zakharov-Shabat method we demonstrate that the MKdV and KKE have two types of onesoliton solutions and briefly comment on their properties.
| Item Type: | Article |
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| Uncontrolled Keywords: | Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations; Optical solitons; nonlinear guided waves ; Solitons; BGK modes ; Basis sets (LCAO, plane-wave, APW, etc.) and related methodology (scattering methods, ASA, linearized methods, etc.) |
| Subjects: | 500 Scienze naturali e Matematica > 530 Fisica |
| Depositing User: | Marina Spanti |
| Date Deposited: | 23 Jun 2020 08:56 |
| Last Modified: | 23 Jun 2020 08:56 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/19150 |
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