Results 61 to 70 of about 86,829 (231)

Quantum Toda systems and Lax pairs [PDF]

Communications in Mathematical Physics, 1987
Using the \({\mathbb{P}}\) operator [cf. \textit{L. D. Faddeev}, Integrable models in \((1+1)\)-dimensional quantum field theory, in ``Développements Récents en Théorie des Champs et Mécanique Statistique/Recent Advances in Field Theory and Statistical Mechanics'', Les Houches, Session XXXIX, 2 Août-10 Septembre 1982, J.-B. Zuber and R.
openaire   +2 more sources

Bosonic super-Liouville system: Lax pair and solution [PDF]

International Journal of Theoretical Physics, 1997
LaTeX, no figures, 11 ...
Zhao, Liu, Qu, Changzheng
openaire   +2 more sources

Inter‐microscope comparability of dental microwear texture data obtained from different optical profilometers: Part I Reproducibility of diet inference using different instruments

The Anatomical Record, EarlyView.
Abstract Dental microwear texture analysis (DMTA) has become a well‐established method for dietary inference and reconstruction in both extant and extinct mammals and other tetrapods. As the volume of available data continues to grow, researchers could benefit from combining published data from various studies to perform meta‐analyses.
Daniela E. Winkler, Mugino O. Kubo
wiley   +1 more source

On the complete integrability of an equation having solitons but not known to have a Lax pair

International Journal of Mathematics and Mathematical Sciences, 1986
It is usually assumed that a system having N-soliton solutions is completely integrable. Here we have analyzed a set of equations occuring in case of capillary gravity waves.
A. Roychowdhury, G. Mahato
doaj   +1 more source

The N-soliton solutions to the M-components nonlinear Schrödinger equations by the Riemann–Hilbert approach

Partial Differential Equations in Applied Mathematics, 2022
In this paper, the main work is to study the N-soliton solutions for the M-component nonlinear Schrödinger equations, the matrix Riemann–Hilbert problem is constructed for this integrable hierarchies by analyzing the block matrix spectral problem of the ...
Jian Li, Tiecheng Xia
doaj   +1 more source

Binary Bell polynomials and Darboux covariant Lax pairs [PDF]

Glasgow Mathematical Journal, 2001
Hirota representations of soliton equations have proved very useful. They produced many of the known families of multisoliton solutions, and have often led to a disclosure of the underlying Lax systems and infinite sets of conserved quantities. A striking feature is the ease with which direct insight can be gained into the nature of the eigenvalue ...
Lambert, Franklin, Springael, Johan, Leble, S.b.   +2 more
openaire   +2 more sources

Pelvic morphology and body size in relation to the preauricular sulcus: Evidence from medieval to modern Iberia

The Anatomical Record, EarlyView.
Abstract The preauricular sulcus has long been debated as a pelvic feature variably attributed to obstetric stress, ligamentous traction, and broader biomechanical processes. To clarify its determinants, we analyzed 409 adult individuals from three archeological and one early modern skeletal collection from the Iberian Peninsula, integrating graded ...
Rebeca García‐González, Julia Muñoz‐Guarinos, Nico Cirotto, Sonia Díaz‐Navarro, Laura Rodríguez, José Miguel Carretero   +5 more
wiley   +1 more source

Simplifications of Lax pairs for differential–difference equations by gauge transformations and (doubly) modified integrable equations

Partial Differential Equations in Applied Mathematics
Matrix differential–difference Lax pairs play an essential role in the theory of integrable nonlinear differential–difference equations. We present sufficient conditions which allow one to simplify such a Lax pair by matrix gauge transformations ...
Sergei Igonin
doaj   +1 more source

Generalised Born-Infeld models, Lax operators and the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ perturbation

Journal of High Energy Physics, 2018
Surprising links between the deformation of 2D quantum field theories induced by the composite T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ operator, effective string models and the AdS/CFT correspondence, have recently emerged.
Riccardo Conti, Leonardo Iannella, Stefano Negro, Roberto Tateo   +3 more
doaj   +1 more source

Lax pairs, Painlev\'e properties and exact solutions of the alogero Korteweg-de Vries equation and a new (2+1)-dimensional equation

, 1999
We prove the existence of a Lax pair for the Calogero Korteweg-de Vries (CKdV) equation. Moreover, we modify the T operator in the the Lax pair of the CKdV equation, in the search of a (2+1)-dimensional case and thereby propose a new equation in (2+1 ...
Blaszak M., Bogoyavlenskij O.I., Bogoyavlenskij O.I., Calogero F., Calogero F., Calogero F., Calogero F., Dryuma V.S., Hirota R., Hu X., Konopelchenko B.G., Pavlov M.V., Weiss J., Wilson G., Wolfram S., Yu S., Yu S., Yu S., Zakharov V.E.   +18 more
core   +2 more sources