Results 71 to 80 of about 20,971 (292)

A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation [PDF]

Opuscula Mathematica, 2013
An approach based on the spectral and Lie-algebraic techniques for constructing vertex operator representation for solutions to a Riemann type hydrodynamical hierarchy is devised. A functional representation generating an infinite hierarchy of dispersive
Yarema A. Prykarpatsky, Denis Blackmore, Jolanta Golenia, Anatoliy K. Prykarpatsky   +3 more
doaj   +1 more source

Formal Diagonalisation of Lax-Darboux Schemes

Моделирование и анализ информационных систем, 2015
We discuss the concept of Lax-Darboux scheme and illustrate it on well known examples associated with the Nonlinear Schro¨dinger (NLS) equation. We explore the Darboux links of the NLS hierarchy with the hierarchy of Heisenberg model, principal chiral ...
A. V. Mikhailov
doaj   +1 more source

Integrable Extensions of N=2 Supersymmetric KdV Hierarchy Associated with the Nonuniqueness of the Roots of the Lax operator

, 1998
We preesent a new supersymmetric integrable extensions of the a=4,N=2 KdV hierarchy. The root of the supersymmetric Lax operator of the KdV equation is generalized, by including additional fields.
Ablowitz, Bellucci, Belluci, Brezin, Chaichian, Dargis, Das, Delduc, Delduc, Faddeev, Gross, Inami, Ivanov, Kulish, Labelle, Laberge, Manin, Mathieu, Oevel, Polyakov, Popowicz, Popowicz, Popowicz, Yung, Z. Popowicz   +24 more
core   +2 more sources

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

Molecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson, Lyanne Delgado‐Coka, Natalia Marchenko, Luisa F. Escobar‐Hoyos, Kenneth R. Shroyer, Alisa Yurovsky, Trey Ideker, Gábor Balázsi, Thomas MacCarthy, Scott Powers   +9 more
wiley   +1 more source

Nonlinear Bi-Integrable Couplings of Multicomponent Guo Hierarchy with Self-Consistent Sources

Advances in Mathematical Physics, 2012
Based on a well-known Lie algebra, the multicomponent Guo hierarchy with self-consistent sources is proposed. With the help of a set of non-semisimple Lie algebra, the nonlinear bi-integrable couplings of the multicomponent Guo hierarchy with self ...
Hongwei Yang, Huanhe Dong, Baoshu Yin, Zhenyu Liu   +3 more
doaj   +1 more source

Representations of sl(2,?) in category O and master symmetries [PDF]

, 2015
We show that the indecomposable sl(2,?)-modules in the Bernstein-Gelfand-Gelfand category O naturally arise for homogeneous integrable nonlinear evolution systems. We then develop a new approach called the O scheme to construct master symmetries for such
A. B. Shabat, A. S. Fokas, A. Sergyeyev, A. V. Mikhailov, A. V. Mikhailov, A. V. Mikhailov, A. V. Mikhailov, A. V. Mikhailov, A. V. Mikhailov, A. V. Mikhailov, A. V. Mikhailov, A. V. Mikhailov, A. V. Mikhailov, A. Ya. Maltsev, A. Yu. Orlov, B. Fuchssteiner, B. Fuchssteiner, B. Fuchssteiner, B. Fuchssteiner, B. Huard, D. K. Demskoi, E. Date, E. V. Ferapontov, F. Beukers, F. Finkel, F. Khanizadeh, F. Magri, H. H. Chen, H. H. Chen, I. Dorfman, I. Y. Dorfman, J. A. Sanders, J. A. Sanders, J. A. Sanders, J. A. Sanders, J. E. Humphreys, J. P. Wang, J. P. Wang, J. P. Wang, J. Troost, M. J. Ablowitz, P. J. Olver, P. J. Olver, P. J. Olver, P. J. Olver, P. J. Olver, S. Lombardo, V. E. Adler, V. Mazorchuk, V. V. Sokolov, W. Fu, W. Oevel, W. Oevel, W.-X. Ma   +53 more
core   +2 more sources

Sasa-Satsuma hierarchy of integrable evolution equations [PDF]

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018
We present the infinite hierarchy of Sasa-Satsuma evolution equations. The corresponding Lax pairs are given, thus proving its integrability. The lowest order member of this hierarchy is the nonlinear Schrödinger equation, while the next one is the Sasa-Satsuma equation that includes third-order terms. Up to sixth-order terms of the hierarchy are given
Bandelow, Uwe, Ankiewicz, Adrian, Amiranashvili, Shalva, Pickartz, Sabrina, Akhmediev, Nail   +4 more
openaire   +4 more sources

Tumor‐stromal crosstalk and macrophage enrichment are associated with chemotherapy response in bladder cancer

FEBS Open Bio, EarlyView.
Chemoresistance in bladder cancer: Macrophage recruitment associated with CXCL1, CXCL5 and CXCL8 expression is characteristic of Gemcitabine/Cisplatin (Gem/Cis) Non‐Responder tumors (right side) while Responder tumors did not show substantial tumor‐stromal crosstalk (left side). All biological icons are attributed to Bioicons: carcinoma, cancerous‐cell‐
Sophie Leypold, Janik Riese, Lancelot Seillier, Mark Kühnel, Julia Pannhausen, Charlotte O. J. Fröhlich, Christian Martin, Peter Boor, Matthias Saar, Danny D. Jonigk, Nadine T. Gaisa, Michael Rose   +11 more
wiley   +1 more source

Factorization of the current algebra and integrable top-like systems

, 2004
A hierarchy of integrable hamiltonian nonlinear ODEs is associated with any decomposition of the Lie algebra of Laurent series with coefficients being elements of a semi-simple Lie algebra into a sum of the subalgebra consisting of the Taylor series and ...
Golubchik, I. Z., Sokolov, V. V.
core   +2 more sources

Multi‐omics and low‐input proteomics profiling reveals dynamic regulation driving pluripotency initiation in early mouse embryos

FEBS Open Bio, EarlyView.
Mouse pre‐implantation development involves a transition from totipotency to pluripotency. Integrating transcriptomics, epigenetic profiling, low‐input proteomics and functional assays, we show that eight‐cell embryos retain residual totipotency features, whereas cytoskeletal remodeling regulated by the ubiquitin‐proteasome system drives progression ...
Wanqiong Li, Xi Xiao, Lingbin Qi, Chanyi Li, Sirui Song, Jiaying Qin, Zhigang Xue, Jinfeng Xue, Huaifang Li   +8 more
wiley   +1 more source