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- Title
Oscillatory Solutions for Lattice Korteweg-de Vries-Type Equations.
- Authors
Feng, Wei; Zhao, Song-Lin
- Abstract
By imposing some shift relations on <italic><bold>r</bold></italic> which satisfies the Sylvester equation <italic><bold>KM</bold></italic>+<italic><bold>MK</bold></italic>=<italic><bold>r</bold>t<bold>c</bold></italic>, oscillatory solutions are presented for some lattice Korteweg-de Vries-type equations, including the lattice potential Korteweg de-Vires equation, lattice potential modified Korteweg de-Vires equation, and lattice Schwarzian Korteweg-de Vries equation. This is done through the generalised Cauchy matrix approach.
- Subjects
KORTEWEG-de Vries equation; LATTICE theory; SYLVESTER matrix equations; CAUCHY sequences; MATHEMATICAL symmetry
- Publication
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, Vol 73, Issue 2, p91
- ISSN
0932-0784
- Publication type
Article
- DOI
10.1515/zna-2017-0364