Nonlinearization of the 3 × 3 Matrix Eigenvalue Problem Related to Coupled Nonlinear Schrödinger Equations
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 26-55 |
| Journal / Publication | Journal of Mathematical Analysis and Applications |
| Volume | 233 |
| Issue number | 1 |
| Publication status | Published - 1 May 1999 |
Link(s)
Abstract
The nonlinearization method is extended to the investigation of coupled nonlinear Schrödinger equations associated with a 3×3 matrix eigenvalue problem, from which a new finite-dimensional Hamiltonian system is obtained by nonlinearization of the eigenvalue problem and its adjoint one. A scheme for generating involutive systems of conserved integrals is proposed, by which the finite-dimensional Hamiltonian system is further proved to be completely integrable in the Liouville sense. © 1999 Academic Press.
Citation Format(s)
Nonlinearization of the 3 × 3 Matrix Eigenvalue Problem Related to Coupled Nonlinear Schrödinger Equations. / Geng, X. G.; Dai, H. H.
In: Journal of Mathematical Analysis and Applications, Vol. 233, No. 1, 01.05.1999, p. 26-55.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal
