Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Integrable coupled KdV systems
Date
1998-04-01
Author
Gurses, M
Karasu, Atalay
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
43
views
0
downloads
Cite This
We give the conditions for a system of N-coupled Korteweg de Vries (KdV) type of equations to be integrable. We fmd the recursion operators of each subclass and give all examples for N=2. (C) 1998 American institute of Physics. [S0022-2488(98)03003-5].
Subject Keywords
Symmetries
,
Equations
,
Algebra
URI
https://hdl.handle.net/11511/56641
Journal
JOURNAL OF MATHEMATICAL PHYSICS
DOI
https://doi.org/10.1063/1.532278
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
Kummer extensions of function fields with many rational places
Gülmez Temur, Burcu; Özbudak, Ferruh; Department of Mathematics (2005)
In this thesis, we give two simple and effective methods for constructing Kummer extensions of algebraic function fields over finite fields with many rational places. Some explicit examples are obtained after a practical search. We also study fibre products of Kummer extensions over a finite field and determine the exact number of rational places. We obtain explicit examples with many rational places by a practical search. We have a record (i.e the lower bound is improved) and a new entry for the table of v...
Prolongation algebra and Backlund transformations of Drinfeld-Sokolov system of equations
Karasu, Emine Ayşe (2001-10-20)
We show that the Drinfeid-Sokolov system of equations has a nontrivial prolongation structure. The closure process for prolongation algebra gives rise to the sl(4, c) algebra which is used to derive the scattering problem for the system of equations under consideration. The nontrivial new Backlund transformations and some explicit solutions are given.
Asymptotic integration of dynamical system
Ertem, Türker; Ağacık, Zafer; Department of Mathematics (2013)
In almost all works in the literature there are several results showing asymptotic relationships between the solutions of x′′ = f (t, x) (0.1) and the solutions 1 and t of x′′ = 0. More specifically, the existence of a solution of (0.1) asymptotic to x(t) = at + b, a, b ∈ R has been obtained. In this thesis we investigate in a systematic way the asymptotic behavior as t → ∞ of solutions of a class of differential equations of the form (p(t)x′)′ + q(t)x = f (t, x), t ≥ t_0 (0.2) and (p(t)x′)′ + q(t)x = g(t, ...
P-T phase diagram at various concentrations for the NH4BrxCl1-x system
Salihoglu, S; Tari, O; Yurtseven, Hasan Hamit (2001-08-01)
We calculate here using the mean field theory, the phase-line equations for the gamma-beta, delta-beta and delta-gamma phase transitions in the NH4BrxCl1-x system. We fit our P-T phase diagrams calculated at various concentrations to the experimental data for this crystalline system. Our results show that there is a good agreement between our calculated and experimentally observed phase diagrams for the NH4BrxCl1-x system.
Painleve classification of coupled Korteweg-de Vries systems
Karasu, Emine Ayşe (1997-07-01)
In this work, we give a classification of coupled Korteweg-de Vries equations. We found new systems of equations that are completely integrable in the sense of Painleve. (C) 1997 American Institute of Physics.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. Gurses and A. Karasu, “Integrable coupled KdV systems,”
JOURNAL OF MATHEMATICAL PHYSICS
, pp. 2103–2111, 1998, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56641.