The short pulse equation is integrable

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August undefined, 2024

Webintegrable dispersionless equation Ying-Nan Zhang et al-Integrable discretizations of AB system and multi-soliton solutions H. Sarfraz and U. Saleem-A robust numerical integrator for the short pulse equation near criticality S. Sato et al-This content was downloaded from IP address 207.46.13.105 on 29/10/2024 at 21:41 WebNov 10, 2024 · It was shown by Sakovich and Sakovich that the short pulse equation is integrable, in the sense that it admits a Lax pair and a recursion operator that generates …

Inverse scattering transform of a new optical short pulse system

WebSep 19, 2004 · The short pulse equation is integrable. We prove that the Schafer-Wayne short pulse equation (SPE) which describes the propagation of ultra-short optical pulses … WebNational Center for Biotechnology Information indiamart new registration

The Short Pulse Hierarchy

Webmedia. They derived the short pulse (SP) equation uxt = u+ 1 6 u3 xx. (1) Chung et al [2] showed numerically that the SP equation provides a better approximation to the solution … WebOct 1, 2024 · The main purpose of this paper is to show that for the integrable Short Pulse (SP) equation u x t = u + 1 6 (u 3) x x or u t = (∂ − 1 u) + 1 2 u 2 u x, a super extension does … WebApr 12, 2024 · We propose a scheme to generate and control high-dimensional rogue waves in a coherent three-level Λ-type atomic system via electromagnetically induced transparency (EIT). Under EIT conditions, the probe field envelopes obey the non-integrable nonlinear Schrödinger equations (NLSE) with or without the external potential, which … indiamart office furniture

On soliton solutions of multi-component semi-discrete short pulse equation

The short pulse equation: Bäcklund transformations and …

WebDec 1, 2014 · This system is integrable and appears as the complex form of the system (1) . By direct evaluation or following the prolongation structure analysis [14] the associated Lax-pairs is given as ...... WebMar 8, 2024 · The SP equation that can describe ultra-short pulse plays a crucial role in the field of optical fiber propagation, which was first discovered in 1989 while searching for an integrable differential equation depicting pseudospheres [ 1 ]. india mart noida officeWebJun 1, 2024 · The complex short pulse (CSP) equation u x t = u + 1 2 ( u 2 u x) x is one of the most interesting and exotic nonlinear integrable equations, which was discovered very recently by Feng [13], [14]. In Eq. (2), u = u ( x, t) is a complex-valued function, representing the magnitude of the electric field, the subscripts t and x denote partial ... indiamart number

"WebMar 2, 2012 · An integrable coupled short pulse (CSP) equation is proposed for the propagation of ultra-short pulses in optical fibers. Based on two sets of bilinear equations to a two-dimensional Toda lattice linked by a Baecklund transformation, and an appropriate hodograph transformation, the proposed CSP equation is derived. " - The short pulse equation is integrable

The short pulse equation is integrable

National Center for Biotechnology Information

WebFeb 1, 2024 · The short pulse (SP) equation is an integrable equation. Multi-component generalizations of the SP equation are important for describing the polarization or anisotropic effects in optical fibers. An integrable semi-discretization of multi-component SP equation via Lax pair and Darboux transformation (DT) has been presented. ... WebSakovich, Sergei We prove that the Schäfer-Wayne short pulse equation (SPE), which describes the propagation of ultrashort optical pulses in nonlinear media, is integrable. …

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WebMay 30, 2024 · The study of the integrability of the SP equation via a bi-Hamiltonian formalism [ 9, 10] has led naturally to define a hierarchy of commuting flows: the SP equation is the first positive flow while the EB equation is the first negative flow. Let us now obtain some possible nonlocal reductions of the system ( 9) and ( 11 ). WebOct 1, 2016 · The short pulse equation is able to describe ultra short pulse, which plays a crucial part in the field of optical fiber propagation. In this paper, we investigate a …

WebSep 19, 2004 · The Short Pulse Equation Is Integrable. We prove that the Schafer–Wayne short pulse equation (SPE), which describes the propagation of ultrashort optical pulses … WebThis model results in a set of diﬀerential equations that are coupled with the equation of motion for the rotating mass and with the equation of motion for the projectile. ... Investigation is carried out towards various UWB pulse candidates for Ultra-wideband Short-Range Radar Human ID System. Simulation results by Matlab for candidates of ...

http://cdr.ins.sjtu.edu.cn/seminars/2013/06/04/bilinearizations-to-the-camassa-holm-equation-degasperis-procesi-equation-and-their-short-wave-models/315 WebJul 25, 2024 · We consider three novel PDEs associated with the integrable generalizations of the short pulse equation classified recently by Hone {\\it et al} (2024 {\\it Lett. Math. Phys.} {\\bf 108} 927-947). In particular, we obtain a variety of exact solutions by means of a direct method analogous to that used for solving the short pulse equation. The main …

WebBy means of transformations to nonlinear Klein-Gordon equations, we show that a generalized short pulse equation is integrable in two (and, most probably, only two) …

WebSep 22, 2004 · The Short Pulse Equation Is Integrable. We prove that the Schäfer–Wayne short pulse equation (SPE), which describes the propagation of ultrashort optical pulses … lnwh ward numbersWebAbstract A Bäcklund transformation (BT), which involves both independent and dependent variables, is established and studied for the short pulse (SP) equation. Based it, the nonlinear superposition... The short pulse equation: Bäcklund transformations and applications - Mao - 2024 - Studies in Applied Mathematics - Wiley Online Library indiamart news todayhttp://cdr.ins.sjtu.edu.cn/seminars/2013/06/05/complex-short-pulse-equation-and-its-integrable-discretization/316 indiamart office in patnaWebSep 16, 2024 · Four nonlocal integrable reductions, namely, the real reverse space-time nonlocal focusing and defocusing mSP equations and the complex reverse space-time nonlocal focusing and defocusing mSP equations, are studied in detail. lnwh youtubeWebJun 4, 2013 · Bilinearizations to the Camassa-Holm equation,Degasperis-Procesi equation and their short-wave models ... (DP) equation and their short-wave limits (the Hunter-Saxton and the reduced Ostrovsky equations), the short pulse and coupled short equations etc. These equations share some common features: (1) they are connected to other known … indiamart office delhiWebApr 14, 2024 · Well, as a salesman with an electrical engineering background (shout out to Illinois Institute of Technology), it’s only natural for me to find a mathematical equation to explain it. I can't ... indiamart noida officeWebJul 10, 2008 · We develop a systematic procedure for constructing periodic solutions of the short pulse (SP) model equation that describes the propagation of ultrashort pulses in … indiamart office