New Integrable Nonlinear Lattice Systems with Two Adjustable Coupling Parameters
The double reduction when having been applied to the fourth-order spectral operator on a discrete spatial support is shown to inspire early unknown multicomponent semidiscrete integrable nonlinear systems associated with the nonsinglular spectral operator of third order and characterized b...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2013-12-01
|
| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2013-0013 |
| Summary: | The double reduction when having been applied
to the fourth-order spectral operator on a discrete spatial
support is shown to inspire early unknown multicomponent
semidiscrete integrable nonlinear systems associated with
the nonsinglular spectral operator of third order and characterized
by an additional coupling parameter. Two forms
of zero-curvature representation yielding the proposed integrable
systems are given. Relying upon the lowest local
conservation laws the selfconsistent system with the symmetric
parametrization of field amplitudes is selected. The
variativity of its coupling parameters is expected to ensure
a number of qualitatively distinct regimes of system nonlinear
dynamics. |
|---|---|
| ISSN: | 2192-8010 2192-8029 |