Polynomial dynamical systems associated with the KdV hierarchy
In 1974, S.P. Novikov introduced the stationary n-equations of the Korteweg–de Vries hierarchy, namely the n-Novikov equations. These are associated with integrable polynomial dynamical systems, with polynomial 2n integrals, in ℂ3n. In this paper, we construct an infinite-dimensional polynomial dyna...
Saved in:
| Main Authors: | V.M. Buchstaber, E. Yu. Bunkova |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-12-01
|
| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124003140 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
MODELLING OF THE KdV-BURGERS EQUATION SOLITARY WAVES IN DISSIPATIVE NONHOMOGENEOUS MEDIA
by: A. V. Samokhin, et al.
Published: (2018-04-01) -
MODELLING SOLUTIONS TO THE KdV-BURGERS EQUATION IN THE CASE OF NONHOMOGENEOUS DISSIPATIVE MEDIA
by: A. V. Samokhin, et al.
Published: (2017-05-01) -
Analytical Solutions for the Nonlinear Stochastic Fractional KdV Equation: An application of the Generalized Riccati Equation Mapping Method
by: Abaker A. Hassaballa, et al.
Published: (2025-06-01) -
Modulation instability, bifurcation analysis, and ion-acoustic wave solutions of generalized perturbed KdV equation with M-fractional derivative
by: Mohammed Kbiri Alaoui, et al.
Published: (2025-04-01) -
mKdV Equation on Time Scales: Darboux Transformation and <i>N</i>-Soliton Solutions
by: Baojian Jin, et al.
Published: (2024-08-01)