Results 101 to 110 of about 51,663 (217)
N-soliton solutions to the DKP equation and Weyl group actions
, 2006 We study soliton solutions to the DKP equation which is defined by the Hirota bilinear form, \[ {\begin{array}{llll} (-4D_xD_t+D_x^4+3D_y^2) \tau_n\cdot\tau_n=24\tau_{n-1}\tau_{n+1}, (2D_t+D_x^3\mp 3D_xD_y) \tau_{n\pm 1}\cdot\tau_n=0 \end{array} \quad n ...
Biondini G +7 more
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Solitonic solutions and gravitational solitons: an overview
, 2021 In this work we intend to discuss the solitonic solutions of Einstein's field equations in vacuum by constructing the solution to N solitons and studying some aspects of it. In conclusion, it will be shown how the Kerr black hole can be interpreted as a soliton solution in the case of axial symmetry.
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Novel multi-soliton solutions of the breaking soliton equation
Acta Physica Sinica, 2003 Hirota bilinear method is a very effective method for solving nonlinear evolution equations. In this paper, by further generalizing this method, we obtain novel multi-soliton solutions of (2+1)-dimensional breaking soliton equation.
null Zhang Jie-Fang, null Guo Guan-Ping
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Electrospun conducting polymers: recent trends and the transition towards a sustainable future
Polymer International, EarlyView.This review discusses the electrospinning of conducting polymers, detailing procedures, fibrous morphologies, improved properties, applications in electronics, and challenges, while outlining future directions for nanofibre‐based devices in various fields.
Xenofon Karagiorgis +3 more
wiley +1 more source
Results in Applied MathematicsThis study investigates the mathematical properties and soliton dynamics of the (2+1)-dimensional extended Shallow Water Wave (eSWW) and the generalized Hirota-Satsuma-Ito (gHSI) models by Hirota bilinear scheme.
M. Belal Hossen +3 more
doaj +1 more source
Prohibitions caused by nonlocality for Alice-Bob Boussinesq-KdV type systems
, 2018 It is found that two different celebrate models, the Korteweg de-Vrise (KdV) equation and the Boussinesq equation, are linked to a same model equation but with different nonlocalities. The model equation is called the Alice-Bob KdV (ABKdV) equation which
Lou, S. Y.
core
Soliton Fay identities. I. Dark soliton case
, 2014 We derive a set of bilinear identities for the determinants of the matrices that have been used to construct the dark soliton solutions for various models.
Vekslerchik, V. E.
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Nanophotonics, Volume 15, Issue 7, 13 April 2026.We experimentally achieve an ultraflat, 4.35‐W all‐fiber supercontinuum spanning from 414 to 1860 nm (3‐dB bandwidth). To our knowledge, this represents the broadest octave‐spanning, visible‐to‐NIR, ultraflat SC source ever reported, which also exhibits maximal visible band coverage. ABSTRACT We propose a method for generating ultraflat supercontinuum (
Yashuai Guo +6 more
wiley +1 more source
N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited
Studies in Applied MathematicsABSTRACTIn this article, a general solution formula is derived for the ‐matrix modified Korteweg–de Vries equation. Then, a solution class corresponding to special parameter choices is examined in detail. Roughly, this class can be described as ‐solitons (in the sense of Goncharenko) with common phase matrix.
Carillo S., Lo Schiavo M., Schiebold C.
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