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91.
This article deals with the various heat source responses in a transversely isotropic hollow cylinder under the purview of three-phase-lag (TPL) generalized thermoelasticity theory. In presence of magnetic field and due to the rotating behavior of the cylinder, the governing equations are redefined for generalized thermoelasticity with thermal time delay. In order to obtain the stress, displacement and temperature field, the field functions are expressed in terms of modified Bessel functions in Laplace transformed domain. When the outer radius of hollow cylinder tends to infinity, the corresponding results are discussed. Finally an appropriate Laplace transform inversion technique is adopted. 相似文献
92.
93.
This work obtains the stationary solutions of the non-linear Klein–Gordon equations in 1+1 dimensions. The technique that is used to carry out the analysis is the Lie symmetry approach. There are five types of non-linearity that are studied in this work. In each case, the analysis yields non-trivial stationary solutions; it is the first time that this has been seen. 相似文献
94.
Sagar Biswas 《Physics letters. [Part B]》2011,701(4):481-484
We study rigidly rotating strings in the near-horizon geometry of a stack of Neveu-Schwarz (NS) 5-branes. We solve the Nambu-Goto action of the fundamental string in the presence of a NS-NS two form (Bμν) and find out limiting cases corresponding to magnon and spike like solutions. 相似文献
95.
Farook Rahaman Piyali Bhar Ritabrata Biswas A. A. Usmani 《The European Physical Journal C - Particles and Fields》2014,74(4):1-7
An exact formulation of two-dimensional chiral hydrodynamics with diffeomorphism and conformal anomalies is provided. The constitutive relation involving the stress tensor is computed. It reveals a one parameter class of solutions which is a new result. For a particular value of this parameter, the results found in the gradient expansion scheme are reproduced. Moreover, the constitutive relation is analogous to the corresponding relation for an ideal fluid, appropriately modified to include the chirality property, which has also been derived here. 相似文献
96.
This paper carries out the integration of the coupled KdV equation with power law nonlinearity. The solitary wave ansatz is used to carry out the integration. The domain restrictions of the coefficients of nonlinear and dispersion terms fall out. The results are then supplemented by numerical simulations. 相似文献
97.
Indranil Biswas 《Transactions of the American Mathematical Society》2002,354(10):3883-3891
Let be an ample line bundle over a complex abelian variety . We show that the space of all global sections over of and are both of dimension one. Using this it is shown that the moduli space of rank one holomorphic connections on a compact Riemann surface does not admit any nonconstant algebraic function. On the other hand, is biholomorphic to the moduli space of characters of , which is an affine variety. So is algebraically distinct from the character variety if is of genus at least one.
98.
Let X be a connected Riemann surface equipped with a projective structure
. Let E be a holomorphic symplectic vector bundle over X equipped with a flat connection. There is a holomorphic symplectic structure on the total space of the pullback of E to the space of all nonzero holomorphic cotangent vectors on X. Using
, this symplectic form is quantized. A moduli space of Higgs bundles on a compact Riemann surface has a natural holomorphic symplectic structure. Using
, a quantization of this symplectic form over a Zariski open subset of the moduli space of Higgs bundles is constructed. 相似文献
99.
A. Biswas D. Milovic 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,29(2):155
Recent developments in the study of nonlinear phenomena have led to the realization that a combination of the concepts of
integrability, geometry and topology provides a new powerful framework for describing a great variety of physical systems.
It was therefore felt that the compilation of a special issue comprising articles on the interdiseiplinary topic of Geometry,
Integrability and Nonlinearity in Condensed Matter Physics, would indeed be timely. The enthusiastic response and support
that we received from the active researchers in this subject, when we organized an International Conference on the above topic
from July 15 to July 20, 2001, in Bansko, Bulgaria, provided a further motivation for undertaking this task.
As the topic is interdisciplinary in nature, the articles in this volume contain new results on a wide range of subjects.
These include among others, integrable equations and the interplay between geometry and nonlinearity, the role of optical
solitons in communication. (and, possibly, computation), common nonlinear and geometrical aspects of condensed matter, field
theory, and so on. The increasingly important role played by geometry and topology in diverse areas such as the quantum Hall
effect, localization, deformation and elasticity, quasiparticle kinetics and dynamics, spin systems, membranes, is highlighted
in some of the articles. There are papers in which essential links of nonlinearity to differential geometry are identified
and many elegant mathematical methods are presented. Some other articles focus on how the mathematical tools of geometry and
nonlinear analysis can be applied to solve certain physical problems.
Given the vast range of titles, it was difficult to strictly divide the contributions into distinct categories. Except for
the pedagogical introductory article by Rajaraman titled "CP
N
Solitons in Quantum Hall Systems", which essentially "sets the stage" for the various themes covered, we have grouped the
articles broadly under the following headings: Geometry, integrability and mathematical physics; Solitons: Interaction phenomena,
nonlinear optics; Condensed matter physics; Soft condensed matter physics; Quantum phenomena.
We gratefully acknowledge the support from Los Alamos National Lab, USA; Université de Cergy-Pontoise, France; The Abdus Salam
International Centre for Theoretical Physics, Trieste, Italy and the Institute for Nuclear Research and Nuclear Energy, Sofia,
Bulgaria, in putting this special volume together. We believe that the cross-fertilization and synergy of a host of ideas
in seemingly disparate fields of physics would lead to the natural emergence of new paradigms, which in turn could pave the
way for collaborative research to arrive at new solutions of complex nonlinear problems. It is our hope that this topical
issue will be useful in providing an impetus for achieving this broad objective.
Radha Balakrishnan, Chennai, India
Rossen Dandoloff, Cergy-Pontoise, France
Vladimir Gerdjikov, Sofia, Bulgaria
Dimitar Pushkarov, Sofia, Bulgaria
Avadh Saxena, Los Alamos, USA 相似文献
100.