Results 41 to 50 of about 24,425,209 (308)

Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws

open access: yesJournal of High Energy Physics, 2023
Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
doaj   +1 more source

THE BOUSSINESQ INTEGRABLE SYSTEM: COMPATIBLE LATTICE AND CONTINUUM STRUCTURES [PDF]

open access: yesGlasgow Mathematical Journal, 2004
We consider the discrete Boussinesq integrable system and the compatible set of differential difference, and partial differential equations. The latter not only encode the complete hierarchy of the Boussinesq equation, but also incorporate the hyperbolic
A. Tongas, F. Nijhoff
semanticscholar   +1 more source

Bilinearization and soliton solutions of N=1 supersymmetric coupled dispersionless integrable system

open access: yes, 2017
An N=1 supersymmetric generalization of coupled dispersionless (SUSY-CD) integrable system has been proposed by writing its superfield Lax representation.
A. Mirza, M. ul Hassan
semanticscholar   +1 more source

The two-component complex coupled integrable dispersionless equations: Darboux transformation and soliton solutions

open access: yesPartial Differential Equations in Applied Mathematics, 2022
The complex coupled integrable dispersionless (CID)system is an important system. It has been shown that complex CID equation is gauge equivalent to the Pohlmeyer–Lund–Regge model (a complex sine-Gordon equation) and can also be transformed to the ...
Caiqin Song, Chen-Chen Fu, Zuo-Nong Zhu
doaj   +1 more source

Spinning strings in AdS(5) x S**5: New integrable system relations [PDF]

open access: yes, 2003
A general class of rotating closed string solutions in AdS5 × S 5 is shown to be described by a Neumann-Rosochatius one-dimensional integrable system.
G. Arutyunov, J. Russo, A. Tseytlin
semanticscholar   +1 more source

A generalized isospectral–nonisospectral heat equation hierarchy and its expanding integrable model

open access: yesAdvances in Difference Equations, 2020
A generalized nonisospectral heat integrable hierarchy with three dependent variables is singled out. A Bäcklund transformation of a resulting isospectral integrable hierarchy is produced by converting the usual Lax pair into the Lax pairs in Riccati ...
Huanhuan Lu, Yufeng Zhang, Jianqin Mei
doaj   +1 more source

Stability and Energy-Casimir Mapping for Integrable Deformations of the Kermack-McKendrick System

open access: yesAdvances in Mathematical Physics, 2018
Integrable deformations of a Hamilton-Poisson system can be obtained altering its constants of motion. These deformations are integrable systems that can have various dynamical properties.
Cristian Lăzureanu, Camelia Petrişor
doaj   +1 more source

A new integrable system on the sphere [PDF]

open access: yes, 2004
This pre-print has been submitted, and accepted, to the journal, Mathematical Research Letters. The definitive version: DULLIN, H.R. and MATVEEV, V.S., 2004. A new integrable system on the sphere. Mathematical Research Letters, 11(5-6),pp. 715-722.
H. Dullin, V. Matveev
semanticscholar   +1 more source

Lorenz integrable system moves à la Poinsot [PDF]

open access: yes, 2002
A transformation is derived which takes the Lorenz integrable system into the well-known Euler equations of a torque-free rigid body about a fixed point, i.e., the famous motion a la Poinsot.
M. C. Nucci
semanticscholar   +1 more source

Discrete Values of the Coefficient of Damping under Conditions of Explicit Acoustic Nonlinearity

open access: yesNonlinear Analysis, 2006
Qualitative analysis of hypersound generation is described by the inhomogeneous Burgers equation in the case of the non-harmonic and arbitrary light field. A qualitative possibility of the appearance of discrete values of the coefficient of extinction of
P. Miškinis
doaj   +1 more source

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