Results 81 to 90 of about 275 (183)

Old and New Reductions of Dispersionless Toda Hierarchy

Symmetry, Integrability and Geometry: Methods and Applications, 2012
This paper is focused on geometric aspects of two particular types of finite-variable reductions in the dispersionless Toda hierarchy. The reductions are formulated in terms of ''Landau-Ginzburg potentials'' that play the role of reduced Lax functions ...
Kanehisa Takasaki
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Darboux transformations [PDF]

Transactions of the American Mathematical Society, 1967
Bruckner, A. M., Bruckner, J. B.
openaire   +1 more source

DRESSING OF ZERO-RANGE POTENTIALS INTO REALISTIC MOLECULAR POTENTIALS OF FINITE RANGE

TASK Quarterly, 2010
The zero-range potentials of the radial Schrodinger equation and their dressing are investigated. A sequence of Darboux transformations involving a set of parameters yields solvable potentials of a finite-range with physically meaningful properties.
SERGEY B. LEBLE, DMITRY V. PONOMAREV
doaj  

Dirac fermions in graphene under curved spacetime: a study of Beltrami geometry and $${{\mathcal {CPT}}}$$ CPT symmetry

European Physical Journal C: Particles and Fields
We analyze the dynamics of Dirac fermions in graphene set within Beltrami spacetime, characterized by a negative curvature. This research investigates how both curvature and external electromagnetic fields influence electron motion, particularly in terms
Ikram Imane Kouachi, Özlem Yeşiltaş
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Solutions to the Sine-Gordon Equation: From Darboux Transformations to Wronskian Representations of the k-Negaton-l-Positon-n-Soliton Solutions

Axioms
With a specific Darboux transformation, we construct solutions to the sine-Gordon equation. We use both the simple Darboux transformation as well as the multiple Darboux transformation, which enables the obtainment of compact solutions of this equation ...
Pierre Gaillard
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Darboux transformations and random point processes

, 2014
In this paper we describe a general method to derive formulas relating the gap probability of some classical determinantal random point process (Airy, Pearcey and Hermite) with the gap probability of the processes related to the same kernels with "wanderers", "inliers" and "outliers".
Bertola, M., Cafasso, M.
openaire   +3 more sources

Different Approaches To Ruled Surfaces

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2012
Abstarct: In this study, surfaces are defined by using dual vectors and line transformations. A new approach is given for the transformation of parametrically surfaces.
Yusuf Yaylı, Semra Saraçoğlu
doaj  

Stochastic Dynamics and Control in Nonlinear Waves with Darboux Transformations, Quasi-Periodic Behavior, and Noise-Induced Transitions

Mathematics
Stochastically forced nonlinear wave systems are commonly associated with complex dynamical behavior, although little is known about the general interaction of nonlinear dispersion, irrational forcing frequencies, and multiplicative noise.
Adil Jhangeer, Mudassar Imran
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Symmetry Transformations of a Nonlinear Model of Optical Wave Transmission

Axioms
The full symmetry group is found for a system of nonlinear schrödinger equations describing the propagation of optical pulses in an isotropic media.
Jean-Claude Ndogmo, Emmanuel Mayombo Mbala, Mensah Kekeli Folly-Gbetoula   +2 more
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Comparative Study of Oscillator Dynamics Under Deterministic and Stochastic Influences with Soliton Robustness Darboux Transformations and Chaos Transition

Computation
This paper presents a comprehensive study of nonlinear wave and oscillator dynamics under both deterministic and stochastic influences. By comparing soliton-like and dispersive waveforms, we employ spectral solvers, Darboux transformations, and nonlinear
Maham Munawar, Adil Jhangeer, Mudassar Imran   +2 more
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