Results 31 to 40 of about 17,084 (205)
Multiple-Pole Solutions to a Semidiscrete Modified Korteweg-de Vries Equation
Advances in Mathematical Physics, 2019 Multiple-pole soliton solutions to a semidiscrete modified Korteweg-de Vries equation are derived by virtue of the Riemann-Hilbert problem with higher-order zeros.
Zhixing Xiao, Kang Li, Junyi Zhu
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Solitons in supersymmetric sigma-models with torsion
, 1995 We derive a bound on the energy of the general (p,q)-supersymmetric two-dimensional massive sigma model with torsion, in terms of the topological and Noether charges that appear as central charges in its supersymmetry algebra.The bound is saturated by ...
Abraham +17 more
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On the nonlocal Boussinesq equation: Multiple-soliton solutions
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Three higher-dimensional Virasoro integrable models: Multiple soliton solutions [PDF]
AIP Conference Proceedings, 2013 In this work, we study three higher-dimensional Virasoro integrable models, namely the (3+1)-dimensional Nizhnik-Novikov-Veselov equation, the (3+1)-dimensional breaking soliton equation, and a (3+1)-dimensional extended breaking soliton equation. The three equations are among the Virasoro integrable models.
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Two-photon paired solitons supported by medium polarization
, 2014 We derive for the first time fundamental equations that describe soliton spatial profiles consisting of two-photon mode fields and macroscopic polarization of medium.
Sasao, N., Yoshimura, M.
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Arab Journal of Basic and Applied Sciences, 2018 The nonlocal symmetries for the coupled (2 + 1)-dimensional Burgers system are obtained with the truncated Painlevé expansion method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables.
Hengchun Hu, Yueyue Li
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Lump solutions of nonlinear (3 + 1)-dimensional for nonlinear partial differential equations
Partial Differential Equations in Applied Mathematics, 2020 Through the Hirota’s bilinear algorithm, we aim to generate the existence of diverse lump and interaction solutions for two nonlinear (3+1)-dimensional partial differential equations (NLPDEs).
Ahmad M. Alenezi
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Perturbations of Dark Solitons [PDF]
, 2010 A method for approximating dark soliton solutions of the nonlinear Schrodinger equation under the influence of perturbations is presented. The problem is broken into an inner region, where core of the soliton resides, and an outer region, which evolves ...
Ablowitz, Mark J. +3 more
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Advanced Optical Materials, EarlyView.We describe the fabrication of 3D polymeric waveguide architectures with tunability of waveguide diameter, lattice symmetry and long and short‐range order using an inexpensive (< $400 CAD) digital light projector. We demonstrate that Projector induced Waveguide Encoded Lattices (ProWELs) possess advanced functionality including tuneable Fields of View (
Kyle Stegman +3 more
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Results in Physics, 2023 The purpose of this research paper is to investigate the (3+1)-dimensional Hirota bilinear equation that arises in nonlinear waves in fluid dynamics, plasma physics and shallow water waves.
Hajar F. Ismael +5 more
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