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Differential equations for Feynman graph amplitudes [PDF]
Il Nuovo Cimento A, 1997 It is by now well established that, by means of the integration by part identities, all the integrals occurring in the evaluation of a Feynman graph of given topology can be expressed in terms of a few independent master integrals. It is shown in this paper that the integration by part identities can be further used for obtaining a linear system of ...
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Frontiers in Applied Mathematics and StatisticsOncolytic virotherapy is a promising targeted cancer treatment that employs viruses, which selectively infect tumor cells. Although its clinical efficiency has remained limited and it is often used in conjunction with other therapies, advances in genetic
Tejas Bansod, Thomas Hillen
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Exact solution to the Coulomb wave using the linearized phase-amplitude method
AIP Advances, 2015 The author shows that the amplitude equation from the phase-amplitude method of calculating continuum wave functions can be linearized into a 3rd-order differential equation.
Shuji Kiyokawa
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Unconventionally Designed Tracking Loop Adaptable to Plasma Sheath Channel for Hypersonic Vehicles
Sensors, 2020 An aircraft that moves through the atmosphere at hypersonic speed is covered by plasma sheath, which causes random and fast time-varying amplitude attenuation and phase fluctuation in received signals. This paper comprehensively analyzes the mechanism of
Lei Shi, Shurong Yuan, Bo Yao
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, 2012 In evolution equations for a complex amplitude, the phase obeys a much more intricate equation than the amplitude. Nevertheless, general methods should be applicable to both variables.
A. N. W. Hone +16 more
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Turing patterns in a networked vegetation model
Mathematical Biosciences and EngineeringA vegetation model composed of water and plants was proposed by introducing a weighted graph Laplacian operator into the reaction-diffusion dynamics. We showed the global existence and uniqueness of the solution via monotone iterative sequence.
Xiaomei Bao, Canrong Tian
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AIP Advances, 2021 In this paper, we study the exact solitary wave solutions, periodic wave solutions, and bounded rational function solution of the high-order nonlinear Schrödinger equation and the evolutional relationships between the solitary and periodic wave solutions
Weiguo Zhang +3 more
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Vortex solitons in dispersive nonlinear Kerr type media
, 2005 We have investigated the nonlinear amplitude vector equation governing the evolution of optical pulses in optical and UV region. We are normalizing this equation for the cases of different and equal transverse and longitudinal size of optical pulses, of ...
Dakova, D. Y. +4 more
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Amplitude equation for a diffusion-reaction system: The reversible Sel'kov model
AIP Advances, 2012 For a model glycolytic diffusion-reaction system, an amplitude equation has been derived in the framework of a weakly nonlinear theory. The linear stability analysis of this amplitude equation interprets the structural transitions and stability of ...
A. K. Dutt
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Differential equations for Carrollian amplitudes
Journal of High Energy PhysicsAbstract Differential equations are powerful tools in the study of correlation functions in conformal field theories (CFTs). Carrollian amplitudes behave as correlation functions of Carrollian CFT that holographically describes asymptotically flat spacetime.
Ruzziconi, R +3 more
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